Topology & Geometry [Archive]

intro to differential forms
differential geometry and tensor calculus
tensor
basic tools for quantized differential geometry
A Toy Principle Bundle
Comments on Toy Principle Bundle
Differential forms. Why?
Geometry with non-compact groups, e.g. Freidel/Livine
Enveloping spaces
Why no images?
Proposed Resource Sticky for Quantum Differential Geometry
Synge's Theorem
[SOLVED] Euler 9 point circle
Metrics and coordinate transforms
Calculating an inertia tensor
differential geometry lecture notes
pushforward of Lie bracket
Theorem between Curvature and submanifolds
Question
Groups in GR
Another question
Geodesic Deviation
definition of a vector using transformations
4-volume is a rank (0,0) tensor?
Help me out.
Transform rule for (1,2) tensor
What is a vector?
Question on Topological Spaces
Request for help and/or comments
atlas
How to start with Tensors
Which of the following is a metric on S? d^2 or d^(1/2)
Quick Introduction to Tensor Analysis
Scalar Equations!
Lie transport vs. parallel transport
expanding manifold with constant boundary
possible circlular answer...
If curvature were an exact differential
Twisted forms and intuition.
Homogeneous points & coordinates
tensor product
Structure constant calculation
Hodge numbers of 2n-dimensional torus
Embedding a line into a plane
Non-commutitative geometry
The Four Vertex Theorem
Isotopy in Topology
Tangent/normal/area for this Circle..
What is a Vector Bundle?
Determinant of metric tensor
Some basic problems in Riemannian Geometry
What's a surface patch?
Extrinsic/Intrinsic curvature
Third Bianchi identity
parallel lines and space curvature
lecture notes discrete manifolds
Diff operators are Covariant
Tensor identity - Help
A monkey learning tensor
what is a tensor
Applications of tensors
any idea on this
diffeomorphism invariance
intro tensors book
Outsider question about DG
Intersecting subspaces in N dimensions
Christoffel symbol as tensor
Lie algebra
Directionality in Stokes Theorem for Volumes
[MUST READ] This forum is not for homework questions.
Contravariant gradient?
Harmonic curves
Corses on differential geom
algebric geometry
Into troubles with a mesh
2nd Funadamental Form?
showing scalars are unchanged by rotation
tagent vector and vector field difference
proof that grad V is a (1,1) tensor
Most efficient backgrounder on differential geometry ?
non-degenerate Poisson bracket and even-dimensional manifold
Can someone help me solve these problems
Klein Bottle
Quotient space?
i need to know how can i solve the following
visualization of contangent vector?
Continuous on a curve?
Differential Geometry And Difference Geometry?
Double Integral Volume
corses on vector and principale bundles and spinorielle geometry
geometric heat equation
Solutions in differential forms
about the basics of Poisson bracket
Quotient topology
Closure of an open ball and separable space?
homotopy book
differential forms question
Best books for Differential Geometry?
Transformation law for Christoffel symbol of first kind
Prerequisites for Differential Geometry
spherical geometry, some simple things
covariant vs contravariant
Differential Equations
Intorduction to Lie Groups?
equation of evolute?
Spinor Decomposition of a tensor
Tensors & Differential Geometry -- What are lie groups?
The covariant derivative of a contravariant vector
Rank 2 covariant tensors and dimesionality
Stereographic projection
Question On Homotopy Groups
Unbounded space
manifold question?
Writing tensors in a different way?!
cross product in higher dimensions?
infinitie dimensions?
Curl and a real set of data vectors
A Geometric Approach to Differential Forms by David Bachman
An extension of the concept of a tensor field
Curve Evolution
Extrinsic and Intrinsic Curvature
curveture
What is a tensor?
Coordinate transformations
Lie-derivative
vectorfield
Question on the properties of a manifold
using surgeries to construct 4-manifolds of arbitrary topology
lie groups-textbook
Sunrises on the compass
Hodge Duals and the Interior Product
the curmufrence and the volume of a sphere...
manifolds
Extension of Thurston's Geometrization Conjecture to four dimensions?
Quick question on Einstein Notation
la direction d'un point
Closed manifolds
What is a tensor and why is it useful?
Angle between space-like and time-like vectors
Topology problem
differential forms
covariant derivative
engineer becomes physicist? help me.
Questions in topology/geometry
Formula for non-linear differential forms
Surface Transformation
how to satisfy Laplace's equation ?
Nonabelian gauge field
Quick Diff Geometry question
Got the theorem, having trouble with the proof...
Question regarding tensors... derive acceleration in polar form
Can you check my proof?
flat torus embedding in euclidean space?
Nakahara problems solutions
Orientable Manifold with Boundary
Topology problem No. 2
matrices and tensors
applied 3-sphere model
Induced inner product
funny definition of dimension of a topological space
Linear Interpolation
Rotated Spheroid
Tensors
vectors, one-forms and gradients
Translation/Rotation
Topology question?
Deriving the Implicit Equation of a Rotated Spheroid
Tensor analysis in curvilinear coordinates
Finite Differences proving
Good Texts for Independent Study
riemann roch made easy
2 alternate coordinate systems
DOFs in coordinate mapping if metrics specified?
Kleinian view of geometry
Bracketed subscripts
[SOLVED] How to deduce rot and div formulas under spherical or cylinderical coordinat
Help with basic tensor algebra
How can i define "Hook's Law interm of Tensor"
How to show something is a tensor.
Atlas of manifold
helix and radius of curvature
tangent vectors
Tringles on a sphere
Euclidean Geometry Question
What r the prerequisites for studying diff geo????
manifolds
maifold calculus
Exterior differential
Tensors and Topology
Super Quick Question
One-forms
surface question (topology)
Manifold Problems
Symmetric Matrices and Manifolds Answer Guide
Frobenius' Theorem
The Poincare Conjecture.
Open Subgroup of a Lie Group
quadrupole-quadrupole interaction?
projective plane as quotient space of a sphere
Is an orthogonal transformation a tensor?
The Geometric Heat Equation--WTF??
Question about Alexander and Briggs notation
Tensor emergency
noncoordinate basis
Homeomorphic Vs. Isotopic
Physics and Topology
definition of a smooth manifold.
Lie Derivative of a One-Form
Geometry - Stereographic projection
A very special Möbius Strip
What is the second fundamental form?
Two quick questions on subspaces (intro to tensor calc)
About curvature
Contravariant derivative
Torsion Tensor and Gauss Equation
Qestion: Vector field and (n-1)-form representation of current density
Tensors and Tensors
Isotropic tensors
tensor
Worked Problems in Modern Differential Geometry
Integral manifold
Tangent bundle on the sphere
Varying metric determinant
tensor questions
Euclidean and Non Euclidean Space?
Inverse of the Stereographic Projection
Introduction to Differential Geometry
Isomorphic Tangent Spaces
Acceleration Tensor - Rotating Frame
GR and analytic continuation
divergence of a tensor?
properly discontinuous action of groups
One-Forms
Riemannian manifolds
units?
Homeomorphism
Has anyone seen this scalar?
optimization problem
4 dimensional spacetime manifold question
Differential Forms vs. Directed Measures
Who discovered the general case of Stokes' Theorem?
why tensor analysis ???
Various problems concerning Exterior calculus
The Tensor Product
Producing a Ricci tensor
Differential Geometry/Ricci Calculus Question
Proving an Identity from Differential Geometry
Exterior derivative question
MInimal surfaces...
levi-civita permutation tensor, and kroneker delta
Some geometry questions
Lie algebra
Schwarzschild Solution using Cartan's Formalism
Question involving curvature tensor
Stuck with basis for tangent space
Conversion from Scalar Eq. to Vector Eq.
the exterior derivitive 'd'
Rank condition in the Implicit Mapping Theorm
The Special Linear Group
Geodesics in Minkowski Spacetime
Covariant derivative of the gradient...
Inverse function of a function of two variables
Killing fields
1forms and Div, Curl, Grad
Contracting.
Exterior Derivative
Riemannian volume form without local coordinates
Reimann Geometry Resources
differential of normal vector
Textbook for General Relativity
Lie group geometry, Clifford algebra, symmetric spaces, Kaluza-Klein, and all that
Contitunity on a Manifold
Convolution Theorem on Manifolds
Basis vectors and covectors
From Simple Groups to Quantum Field Theory
Lie group, Riemannian metric, and connection
Spivak's textbooks
Evaluate a length on a quadric surface
metric tensor on unit sphere
structure constants of Lie algebra
Musings on the physicists/mathematicians barrier
Derivation Of The Faraday Two-Form
Complete Solution of Poincare Conjecture
Metric (distance Function)
Lie group geometry
What different between covariant metric tensor and contravariant metric tensor
What is the metric tensor on a spherical surface?
Why we have to definte covariant derivative?
Weyl tensor
Connections on fibre bundles
Grisha got it!
Quadlateration
Fifith Postulate in Affine Spaces
Ricci Tensor and Trace
Riemannian Geometry
"Discrete" Geommetry...
2-Sphere
The Great Circle et al....
Intro to tensors book for self-study?
Coordinates in Riemannian Geometry
Transforming to curved manifolds
Question on homeomorfism
Connected set and regular boundaries
Meaning of integrating exterior forms
Fundamenal Group
Ricci and K (curvature)
Cartan forms and structure equations
I thought w(f) where w=dual vector f=vector is Reals?
In which frame does the unit 2-sphere look locally flat?
Curl of Tensor
Tensors
Question and answer on 'not exact' forms
Spivak calculus on manifolds solutions? (someone asked this b4 and got ignored)
Geodesic Curvature (Curvature of a curve)
Notes
Generalized Poisson brackets
scalar, vector, mixed, etc products
Cross product optimization
dual space topology
Book on tensor symmetry, geometries, surfaces
Parallel Translation
Complete riemannian metric
How does a 2form act?
Using Tensors in this Forum
Gradients of Vectors and Dyadic Products
Theorem of Curves in higher dimensions
All isometries of the n-torus
Definition of surface
noncoordinate basis vector fields
Transformations taking straight lines to straight lines
Vector Fields and Vector Bundles
principle bundles
Surface area preserving flow
wedge product property
Inner product Pythagoras theorem
Einstein notation stuff
Hypersurfaces with vanishing extrinsic curvature
Questions about Index Notation
Tangent space, derivation defifinition
Differential Forms - Cartan
Index transformation
4D surface
Riemann
learning tensors from scratch
Tensor with complex eigenvalues
My Solutions to "Tensors and Manifolds"
Help on contraction...
Decomposable forms
Notation question
Cartan's Identity
Star Operator
Kahler geometry and potentials
Lagrange equations with constraints
Covariant and Contravariant Rank-2 Tensors
Help with a function on S^2
Lie Derivatives
tensor and wedge products
linear transition maps on manifolds
Definition of differentiability on a manifold
Surface with prescribed metric
Tensor Newbie trying to find Kolecki's rhythm
Covariant derivative: an sign error in the book?
What's the difference?
Help needed - Equation of a wedge shaped plane!!
good differential geometry book
Question on Dirac Delta and functional derivatives
Easy but interesting.
Poincare conjecture.
What is a compact space?
Weyl Tensor
Schaum's outline
Metric tensor
Question On Metric!!!
Intuitively what's the difference between Lie Derivative and Covariant Derivative?
Hypercylindrical Volume
tensor product
Lie dragging a vector around the ellipse
the kronecker delta
The tensor product and its motivation
an ellipse question?
gaussian geometry.
basis
metric/metric tensor?
Recommendations for diff geom. textbook
Differential Forms?
differential geometry recommendations
Projective spaces
Above-Below test
Simply Connected and Fundamental Group
What is the boundary of a surface???
semigeodesic parameterization...I am a little confused
covariant derivative
differential of lin. transformation between vector spaces
Distance Function vs. Metric
paralell transport
Killing vector fields
original motivation of differential geometry
tensor products and tensor algebras
christoffel symbols examples
From Christoffel symbols to connection 1-forms
Hermitian-Einstein connection ...
What is the hypervolume?
Vector or not vector?
Geodesics and the Lagrangian.
Any right equivariant automorphisms that aren't group left actions?
Bivectors/Trivectors: How to imagine?
Curvature and Laplacian
Riemann-tensor
How to relate a one form to a vector.
Connection coefficients entering differential operators
stokes theorem
WHY there is no scalar equation for a line in three dimensions ???
Curvilinear Unit Vectors
exterior derivative
lie derivative
How to get the normal bivector to a surface??
Permutations
Inflectional geodesics ?
exact sequence & meaning of a corollary?
partitions of unity
Bonnet Transformation
Affine Geometry/Space
Symmetric Tensors and Matrices
Building invariants
maxwell tarpits
help with paper on gradient descent evolution of surfaces
Gauge covariant derivative in curvilinear coordinates
bilinear forms and wedge products
Ricci tensor problem
Switching d
Spacetime metric?
pullback of fibre bundle
higher order tensor
Curve with ever increasing radius
tensor expression
How to Prove contracted Bianchi Identity
Slow roll parameters
Again on concept of tensor
Selberg formula for trace.
Curvature for surfaces?
Hello all my tensor questions
Quick question on formula
inverse of a 4th order tensor
Simple questions about weyl rescaling/Conformal transfo
How many coordinate charts does it take to cover a surface?
Appolonius
relation between Ricci and Riemann curvature tensor
"Tensors & Manifolds," Wasserman
Elementary Differential Geometry Questions
Basis ambiguity
introduction to tensor calculus and continuum mechanics
Curl in arbitrary coordinates
ndependent components
Lie Groups
tangent spaces and derivations
Tensor in fractal dimensions
a simple derivation involving the Hodge dual
Generalized PDEs with an apparent contradiction
Grassmann manifolds
angle preserving transformations
G-torsor
Understanding tensor contraction
Thurston Geometries
About Scalars
some questions about tensor
time is scalar?
Intro to tensor material - If you have time please...
vector field vs vector function
Physicists agree?
adjoint representation
Functional determinant
One- parameter groups
Probability Tensor and Ellipsoid
lie derivative
continuous function
exterior product
Smooth Charts on immersion image.
What's a 0-form and what's not?
Question of vocabulary
first countability
differential structures
Lie algebra question
Poisson's Identity
Symmetric Matrices as Submfld. of M_n. Prelim
taking a course in calculus on manifolds.
Exact definition of differential forms
Help with universal theorem of coefficients for homology
Holonomy, SO(6), SU(3) and SU(4)
Help with Lagrangian to Eulerian transformation
Morse Index
Problem book on manifolds
Comprehensive intro to diff geometry by Spivak Vol2.
immersions and embeddings
Need help on tensor
Tensors
Christoffel symbols from definition or Lagrangian
Tensor Field
Local approximation with ellipsoid
tensor product
holomorphic projective connections
Geometry as a branch of physics
Contraction of a tensor
Equations of motion for differential forms.
Is this correct? (Tensor)
Coordinate Transformation
vector field
differential form
differential form
Spivak volume 2
Discreminent(Hessian)
Identities for covariant derivative
Geodesics
Submersion btw R and S^1
why are tangent vectors like this?
symmetrizing and skew symmetrizing tensors
tensor analysis text?
non-degenerate tensors?
Parallelizable Manifold
induced maps on tensor spaces
geodesic in a curved space
Differential forms and divergence
Synge's inequality
isometric immersion
convert the coordiates of one vector between 2 Cartesian system
geodesic deviation equation
Derived systems: inverse problem
Connections?
Some elementary geometry questions
de Rham cohomology
Operations on 2 vector fields?
Tensors links or ebooks ?
Lie Groups, Technical/Def.
Exponential map
Extending Vector Fields.
Geodesics and Diffeomorphisms
Surface with Ricci scalar equal to two
non-integrable tangent distributions
Curvature of a space curve?
subjects for symplectic geometry?
one parameter family of metrics
Geodesic coordinates and tensor identities
Rotate point on sphere to exactly 'cut sphere in half'
Covectors
Tensor Product
Transformation of Rank 2 mixed tensor
immersion
Frenet-Serre Frames and circles.
Gauss Curvature
Lie derivative of a function
Non-Orthogonality of Frames Del/Delx^i ; i=1,...n
please help an ignorant mathematician
lie groups as riemann manifolds
About tensorial calculus
Surface Tensors
Please prove this
Lie groups & manifolds
Are there propagating charged waves admitted in Maxwell’s equations?
Isometry sub-group of the gauge group & the center of structural group
Spivak Calc on Manifolds, p.85
Help on differentiation of tensor fields
general helix
topological continuity (a few questions).
Differential topology basics
Advisement on 4-manifolds: please suggest
Intersection form. Please help with notation
scalar or vector?
manifold-coordinates..
metrics.
Diffeomorphic manifolds
[SOLVED] Reference for sphere eversion
curl or maxwell equations in higher dimensions
Advice on complex analysis, Riemann surface & complex mappings.
fibre bundles
do these go through a 2-dim sphere?
Normal space goes to Normal space.
definition of a function by a metric.
Path connected and connected.
curvature, torsion problem
compactness and continuity.
dimension of a topological space
Examples for seperation axioms.
Serre Spectral Sequence. Motivation
Pascal's Triangle for non-commutative?
computing product spaces?
open compacted topology.
Affine Connection
Pullback
The space of continuous functions.
Reimannian metric tensor g
Relative Singular Homology
from the metric to the CS
Divergence of a two dimensional 3 order tensor
Tensor product commutes with pullback?
Dyadic?
Exterior Calculus and Differential Forms?
General solution to y = exp(c_i T_i)x?
Some Basic Stuff
Adjoint of functional derivative
Hodge operator and adjoints
Geometry problem
Tangent vectors to a manifold
Book on lie groups
Kahler manifolds
Covariant derivative of metric tensor
Parallel transport in flat polar coordinates
Elie Cartan's Papers
Tangent vectors in affine spaces
Homotopy and Fundemental Group.
Classification Theorem of Surfaces
Lie subalgebra and subspace
How to prove a function is an isometry
Manifolds / Lie Groups - confusing notation
Quotient spaces on Lie algebras
Meromorphic differential
Differential modulo another differential
differential forms and degree
Scalar Product/Dot Product.
reconciling differential forms' inner product of wedge with geometric algebra dot
Number of zeros of (tangent) vector field on sphere
spivak's dual space definition?
Dirac delta in curved spacetime
Pushing a geodesic
hypersurfaces and induced connections.
intrinsic extrinsic
Power Map
isotropy subgroup?
isotropy subgroup?
The mystery of geodesics .
killing vector help
Diagrammatic Notation
Max. Torus in Lie Group
Foliation, fibration, fiber bundle?
Tensor action on Vectors.
Electrical Conductivity Tensor
Lagrangian of electrodynamics
The set {A in GL(n;R) | det(A)>0} is homeomorphic to the set {A in GL(n;R) | det(A)<0
Simple Topology Question
Quotient map (A simple one).
Integration/Differentiation on abstract spaces
Parallelizability vs. hairy ball theorem
Lindelof Space.
How to find rotation parameter in sphere?
Are vector bundles principal bundles?
4 dimensional pyramid.
Differential Forms and Areas
Does Every Coordinate System Admit Local Othornormal Basis Vectors
Topology Question:Connected Components
functions on manifolds
Rotaion group
Ring of functions over M
Fractals Please!
manifolds in hilbert space?
coordinates adapted to two vector fields
Intuition for Covariant derivative of a Tensor Field
kissing numbers
Isometry question.
centrally symmetric.
Penrose's diagrammatic notation
Gaussian Curvature of (x^2+y^2+1)^-2
Vector addition in cylindrical coordinates
Definition of arc length on manifolds without parametrization
normal one-forms
Geodesic surface
to see a tensor
Visualizing left action of SO(3) on itself
A few questions on manifolds.
Covariance and Contravariance
Question about basis of Lie algebra/tangent
CW Complexes
divergence of mixed II-order tensors
Smash Products
Homotopy Extension Property
Simple connectivity and finite coverings
immersion
vanishing measure of a set with codimenon 2
exterior covariant derivative
from tensor to scalar
Indices in differential geometry
Tensor operations and properties
Covariant vectors vs reciprocal vectors
index to matrix form
Equaivalent Statements?
Connection between complex curves and homology classes
Gradient in spherical coordinates
Action of Einstein equations
Orinetability questions.
Total derivative
Implementing Sard's theorem.
Frechet distance between surfaces
Conservative vector field; classification of derivative
Conformal equivalence
Integration on chains in Spivak's calculus on manifolds
isometry and orbit dimensions
Integrating a 2-form on a 2-cube
Naive tensor question?
degree of a map
Simply Connected Question
visualising calabi yau manifolds
Formal definitions of cutting and pasting etc
curved line w/o a plane
Analogy between vectors and covectors
3 points make a plane?
metric in a hyperbolic space?
need help for cycloid
A small rectangle on a large ball - distortion?
College Euclidean Geometry
topology on N
comma notation in tensor expression?
The universal property characterizing the quotient topology
differential geometry
Finding new major axis of ellipse after stretching along arbitrary axis
Line bundles and parallel transport
Basic point set topology question
Trivial topology on an arbitrary set?
fuzzy differential geometry?
An obtuse triangle and its circumcenter
Working with the inverses of composite functions
Volume of cylinder with a 45 degree branch
Get Polygon Side Length From Radius
what are the 'closed geodesic' ?
lie derivative problem/error
Short question about Laplacians
About Torsion
Action of Clifford-elements on vectors & spinors
Help for question below
How it will be solved
How it will be solved
Connected components of a manifold
Questions regarding function operations on sets.
Smooth structures
Dense and open sets in R^n.
Ricci-Tensor from Riemann in higher dimensional flat space
Simpley Connectedness.
Diff. Geometry Question
Nontriviality of the Möbius bundle without orientability
Trilateration work around
Is the product of two open sets open?
Banach space C(X)
Another implememntation of van Kampen thoerem.
Geometry Question
Geometry proofs
Conic sections over C[x,y]
Adjuction Formula: Ideal sheafs and tensor products
Rotations in Complex Plane
Banach Space that is NOT Hilbert
Topological transform of singular points?
Why is the cusp not a submanifold?
Do trapezium angles have to equal 360 degrees?
"Easiest" topology textbook/book
a question of the complete metric space!
Signed angle between two 3D vectors
Projective Space
why is noise always gaussian?
Space filling curves: two and a half questions
Elementary questions about fibre bundles
How can a highschool student study the nonuclidean geometry himself ?
Tesseracts as building blocks?
Rotating a circle around its x-axis
Something I read somewhere about Spin manifolds, I don't remember where?
compact Hausdorff space
Degree of a Map
differential geometry in quantum mechanics - conserved quantities
Area section of a sphere used for integration?
What is Spectral Geometry ??
Normal form of a mobius transformation
Naturality of the Lie bracket
Tangent space question.
Area between two eccentric circles
stereographic projection
Help with a special kind of Torus
Hello! How to prove the min function is continuous?
Topology - prerequisites
Symmetry of distribution
isometries and constants of motion
Tensor indicies switch
partitions of unity: support of a function
Group action and a topological continuous mapping
Rotation of spherical vectors
Fractals - recommended texts
Sphere in Spherical Coordinates
Changing to x,y,z
Closed or Open?
The topology of rational numbers: connected sets
representations of the lorentz group
Curvature of curve with arbitrary parametrization
Find the center of the curve in 3D made by 4-points
Transformations involving singular points
"Usual metric"
Definition of a one-form
A problem about integral curves on a manifold
Newtonian mechanics on curved spacetime
Trace of a tensor product
Compatibility of the horizontality condition with the Bianchi identities
This is clearly symmetric!
Connection between Lie-Brackets an Embeddings
question about differentiable structures
wishing to learn more geometry
General Relationship Between Area & Perimeter
Question- abstract index notation
Distances between samples in high dimensions. Curse of dimensions?
sample topologies
separable and normal topologies...
Torsion, affine development and Levi-Civita connection
Simple question about definition of tangent bundle
A question on noncommutative geometry
Circles in Non-Euclidean Geometry
Counting the possible number of shapes.
cup product structure of the n-torus
Lie derivative of vector field = commutator
Finding the co-ordinates of the points on a triangle
Simple question about SU(2) and SO(3)
dense geodesic
How does a fibre bundle differ from base space X typical fibre?
S^n not a mapping cylinder. S^n and homeom. subspaces
Riemannian Connections: Summary
3D rays
Dyadic Product and Index of Refraction
how long would it take to read euclid's elements?
de Rham theorem....
Plotting the Mandelbrot set
Tensor question about Hypersurfaces
group
Incomplete and completion
Differentiation on Smooth Manifolds without Metric
Triangular obelisk
one-parameter family of metrics
Sequential compactness
Employment areas with PhD in Pure Maths??
integrating the minimum metric
Tensor components of a Hodge dual
Number of different conics in a projective plane
hereditarily normal, mutually separated subsets
discrete topology, product topology
Lexicographic Square, topology
Creating a sphere from a spline curve
Help with Convex.
Please help to Find coordinates of a point formula Angle,Distance & first point known
Dot, Scalar, Inner Product Question
Sighting points on a sphere
constructible sets contain a dense open subset of their closure
Question on a simple geometry subject.
Focus of an ellipse vs. cone
Unable to understand the symbols....!!!
Functions
weak topology
What is Holomorphic factorization?
Help with triangle
Defining scalar product from norm
Computing inner products?
Genericity of Uniquness of a Solution to a System with Non-Linear Equations
a great circle is geodesic
geodesic triangle
Total boundedness in R^n
differential geometry
Co-ordinate Geometry
Gaussian curvature
Question about Milnor's topology fromthe diffable viewpoint
Laplace on Grassmannian (N-1,N)
Measures and alternating multilinear forms
Divergence defined from volume element
Parabolic Curve
I have a conjecture/ possibly already a theorem
Covariant derivative repect to connection?
Stereographic Projection for "general" surfaces
parabolic coordinates
sphere, torus, degree, cohomology
discrete math - equivalence relation
representations of GL(2) on tensor products
Michael Spivak
Christofle symbol and determinant of metric tensor
Orthogonal Transformation and condition
find the coordinates of the point on the ellipsoid where the major axis meet
What geometric applications do prime numbers have?
Need 3-ball to 3-sphere projection equation
Is there a standard for the definition of the wedge product?
Couple of questions on linear geometry
killing spinors
Basis for tangent space and cotangent space
weak topology on L^2 loop space
homeomorphism of the projective n-space
compatible metrics?
Problem with Ricci tensor formula I cannot prove
Surface integral with differential forms
Submersion
Calculating no. of polyhexagon
closed subset (with respect to weak topology)?
Warm thing about convex hulls
coordinates of a point that touches the ellipsoid
Defining the term "connected"
Topology: Filter problem
Ricci Tensor
Construction of the Tensor Product
simplifying a tensor expression
Euclidian Proof
Determine vertical height of a geometry
Introduction to Topology
Intrinsic curvature.
hyperbolic geometry
Exterior derivatives on fibre bundles
Diffeomorphism
can sets be bounded by infinity?
How to say a given space is a manifold?
Arclength on a PseudoRiemann Manifold
Deceiving Simple Geometry Question
Betti number
Power Set
injective and surjective
preserves inclusions, unions intersections...
injectivity vs. surjectivity
How does a hemisphere differ from a disk?
Q on Riemann domains
Q on Riemann domains, revised
Basic question regarding continuous inverses
example of a non-integrable function f , such that |f| and f^2 are integrable?
Vectors As Geometric Objects And Reciprocal Basis?
mathematics descriptions of objects not found in the real world
Intro to Diff. Geom. PLEASE COMMENT.
Cylinder: Ratio Volume/Surface Area
Intersection Form in 4-D. Followup.
Basic Alg. Geometry: Nodal Singularities. Attn Wonk.
Rudimentary tensor question
Can the sum of angles of a planar triangle be greater than 180??
comparing topologies
subspace vs. subset
Topologies Finer vs. Coarser
open map
Countable collection
Subbasis vs. basis
Curl of a vector in a NON-orthogonal curvilinear coordinate system
Stiefel-Whiney Homology Classes
About the coherent topology wiki page
are of a circle segment
Regions in complete graph
Complex Polygon Detection
What are examples of cellular decomposition?
3-D vector interpolation
topological vector spaces
How to show completeness of C(K)?
union of intersections
Three things I don't get about CW-complexes
Exact Sequences
Localizing a point in a circle by 2 points on the circumference
Equation of Ellipse
diffeomorphism vs. homeomorphism
Closed but infinite space?
Lie derivation and flows
Christoffel symbols
Geometry in *COMPLEX* spaces
Introductory differential geometry text
radii of curvature for pseudosphere
topology continuity
showing F is not continuous
Convex Subsets of Topological Vector Spaces
Closure and completeness
symmetrized complex space
orthonormal tetrad/frame name question
Vector Fields on S^2, 0 only at 1 point.
Change of Coordinate for V.Field in Mfld.
Homotopies between circles and paths in the annulus {z: 0<a<|z|<b }
Special Conformal Transformations
How/why is the angle that substends an arc is equal to S/R (S=arc length, R=radius)?
Similar triangles formed by the diagonals of a quadrilateral inscribed in a circle
Metric Spaces
convergence on R->R
A Confusion about open sets
Homology question
differentiable structure
Manifold with Boundary
basis topology
Help on volume
Functional Analysis (Big Rudin)
Open subspace of a compact space
How do you get the Klein Bottle from two Möbius Strips?
Homology of spheres from the M-V sequence
calc height of cone with only volume and angle
Orientations of curves and diffeomorphism
Homology of the Klein Bottle using M-V sequences
distance of a great circle
How to encode direction information?
Two questions about degree
Regular values of immersion.
Inverse of tensor using Einstein notation
open sets in metric spaces
Bundles and global sections, triviality.
Induced Orientation on Mfld. Boundary.
rotations and reflections
Defining the integral of 1-forms without parametrization
inclusions of submflds. and diffeomorphisms.
Compactification and Extension of maps.
Handles and non-orientible 3D manifolds
Question of algebraic flavor in algebraic topolgy
What is the next number in the sequence?
About the definition of local degree
Homology of Hawaiian Earrings
Surface representative of homology class.
Algebraic Topology
Basic open cover
Homology of S^n x R
How to get the coordinates inside
Excision
Pereleman's Proof.
topological group
normal subgroup; topological group
topological groups
Invariance of Domain
Topological representations of energy.
Surface divergence of an order 2, rank 3 tensor
surfaces of cubes & spheres
algebraic topology, groups and covering short, exact sequences
Formula for Area of Overlapping Rings?
Best high-level introduction to classic geometry?
Algebra question in algebraic topology
exterior derivative/interior product/exterior derivative
Formation Of A Helix
How are these two proofs for the compactness of [a,b] equivalent?
Another algebra question in algebraic topology
Iterated Function Sequences Accumulation: Help!
Classification of Vector Bundles over Spheres
Trivial Tangent Bundles
solved
Stereographic projections of Laplace Transforms
Trouble understanding derivation of covariant derivative
can curves be parallel to each other？
Rotating Shapes (2D C++)
Homology of a connected sum
Image reflected from cone interior with r=h
Mathematical Definition of Tensor?
adjoint boundary operator
Curvature form of Cartan connections
Expand cylinder to a surface
Why is the tangent space of a lie group manifold at the origin the lie algebra?
Alexander-Whiteney duality
Riemann Curvature Tensor
Coordinate transformation of contravariant vectors.
Parallel transport analog of Stoke's theorem
Lorentzian structure
Sudden confusion about definitions of singular homology
Conformal Killing vectors
Position vector and tangent vector in Riemannian spaces
Curvilinear Coordinates
prove volume of a torus equation
volume for a contour map
About projection
attaching maps in a product of CW-complexes
How to find a trivialization of a torus
Help!A problem about embedded surface.
Cohomology = invariant forms
Invariant forms on gl(n)
Coordinates in hyperbolic geometry?
Characterization of paracompactness
simplicial homology
Degree of multiplication map of a topological group
Understanding nets
Geometry- circles
Why can the affinity connection be arbituarily chosen?
Tangent vectors as derivations
Volume of a spherical segment
Surface like helicoid in S^3?
free homotopy
Is the rotation angle in Minkowski's diagram real or imaginary?
umbilic points
a maximally symmetric space
inverse of continuous bijection
Covering spaces of RP^n x RP^n
A Monotone Test problem
Two torus identification problems
Textbooks on Fractals and Chaos
Covariant Derivatives
Tensor analysis text
Geometry in spherical coordinate
'Distance' between MANY points ??
Zero/One-dimensional rotation
Geometry drawing environment
tensors in Gemotric Algebra
Lie derivatives and pullbacks
Question about topological manifolds
Trisecting angles in an alternate topology
2 big squares
Contraction distributive property in GA
Is there exist a shortest closed curve in the homology class of a simple closed curve
Transformation
Submersion and fiber bundles
"push-forward" ?
lemniscate locus
1+1=2
How should the radius MP be drawn?
drawing circles
Circle inscribed in a circle.
Homotopy Question
Curvilinear Coordinates in Geometric Algebra?
diffeomorphism
Tensor notation
Flattening metric tensor
Representations of the Fundamental Group
Non-Euclidean/Hyperbolic Geometry
Euler number
Great Circle question
angle x
Point on circle about square
Weak and weak* convergence
Cartesian coordinates vs. The rest of the world?
How is (0,1) not compact?
Tesseract
Structure constants of a group antisymmetric?
find the point which lie in a 3d line.
Connected Metric Space Question
Point inside a cube of irregular dimesnion
Billiard Problem
Holonomy of compact Ricci-flat Kaehler manifold
Vanishing first betti number of kaehler manifold with global SU(m) holonomy
Small slope approximation
Normed and topological vector spaces
Mapping with change of variable
Helical path
confused by open sets
Exponential map of a lie group
Challenging Problem!!! (Equivalent Metrics)
Matrix Banach Space
Two intersecting planes
Vector Analysis Resources
least upper bound
what do you call a surface..
Tensor notation
RP^n as a topological space
Families of "shapes"
high school geometry book
Problem on seperable banach spaces
antisymmetrisation
Is a mixed second rank tensor reducible?
Lie theory question
Linear Algebra Question in a Complex Geometry Proof
How To Find Sides Of Right Triangle With Known Angles And Area?
Direction Cosines and Inner Products without bisectors?
Geometry - The area and the goat
Connected sum of topological manifolds
Geodesic in plane when metric depends on single variable?
Intuition behind compactness
Isn't the circle connected?
can i find such a metric?
Limit Point of a Set
Example of a covering set
Measuring Symmetry in Phase Coupled Oscillators?
Another manifold definition deficiency?
Prove that the bth projection map is continuous and open.
Tensor integration
Topology proof
Bruhat-Tits Space
Sphere question
Projective Geometry question.
characteristic classes of finite group representations
wild metric on the 2 disc
the kelin bottle and the projective plane
Convergent Filter Base and Continuous Function
For professionals - differential geometry
Are there operators that change the curvature of manifolds?
Product space
Edwin Spanier Algebraic Topology difficulty?
Covariant derivative in polar coordinates
4-Manifolds and Kirby Calculus by Gompf.
DG vs. PDE course
Geodesic deviation & Jacobi Equation
Differential Topology
Area of hyperbolic triangle
Finding middle group in short exact sequence
16 different spherical coordinate systems
Am I right?
Basis
discrete metric
subracting dimensions
Standard function topology?
Topological proof of inifinitude of primes
Curl of - \frac{1}{\rho} \vec \nabla p
misunderstanding of isomorphism and automorphism
Joint Gaussian With Tensors
A Proof of Euler Theorem
C^2 vs R^4 question
Output a geometry rather than a number
Maximal Exterior product of Tangent space
Covariant vs contravariant
deSitter Dimensions
Levi-Civita connection
Levi-Civita connection
Aliasing riemannian geometry
topological invariant integrals
pushout of simplicial sets
Local invariants
basic method of finding geographic centre of a small country
Orthonormal frame
cubular homology cup product
Curvatures
compact -> hausdorff
Subbasis
light cone
Geometrical meaning of spectrum in algebraic geometry
smooth section in principal bundle
Help with Frenet-Serret formula
ε-Neighborhood
theorem
Improve Spatial Representation
Origin translation tensor
Levi-Civita Tensor Video
smaller cross section of a closed surface
Metric tensor and connection
Scaling and Translation Invariance
conjecture
Lie Algebra of S3
positioning points inside a triangle
CW structure of S^m x S^n
computing tangent spaces of implicitly defined manifolds
Distance function
Integral curves and one-parameter groups of diffeomorphisms
Isomorphism between spaces
Prove this Metric Space
RP2 into R4 embedding
n-sphere and its equator
dot product of vector function?
3D Plot of a constrained function
a commutative diagram
Algebraic Geometry and Differential Equations
Curvature and locally flat spaces
divergence theorem
curvilinear coordinates question
two fold coverings
Squaring the triangle
open book
Homology groups from Homotopy groups
Poincare' disc
flat world
Proving that the cartesian metric is rotation invariant
Nonsqueezing theorem - a proof with the action
How to compute the cohomology of the Klein bottle
Can someone explain this proof to me?
how to prove there is no Lebesgue number for open cover (1/n,1)?
relating inverse metric to densitized triads
Composition of a Tricolorable knot
how to find 3D point on the 3D line with given distance and from given 3D point
KAM theory
dyad product
Rotating frames of Motion in Vector Notation
How to compute the metric without an embedding
sO(n) actions on vector bundles
Geometry Proof. Help!!!
LaTeX Q
Complete set of answers to Schaum's Tensor Calculus
Geometry Proof
gluing maps from vector fields
Moment Map
Parallax, angle to observer etc.
Visualizing Immersions vs. Submersions
Differential geometry and hamiltonian dynamics
euclidian topology ang cofinite topology
Alexander duality
Compass and straightedge angle construction
Fundamental Group of the projective plane after we remove n points?
Union of a pair of Atlases
Non-symplectic flow
Cone: solid or surface?
Non 2nd-countable, Hausdorff, differentiable n-manifold?
question whether 2 spaces are diffeomorphic
Computating the components of a tensor
Geometry Area Proof (quadrilateral)
differentiable manifold not riemannian
Tensor problem
Lie groups, Affine Connections
Solid Geometry
Bivectors, Cartan Geometry and Curvature
Properties of a volume in 3D Euclidean space
Interesting geometry book?
Orthogonal Transformations
Trying to get my head around tangent bundles
Algebraic geometry
Algebraic Geometry (2nd question)
Fundamental Group
Help needed in understanding typology
Trivial fundemental group
Metric
Apollonian Packing of Circles
Perspective and Altitude
alpha vs theta
Local path connectedness
corollary
graphing complex function
Trouble with simple example for Lie Derivative
Matrix Formalism of Differential Geometry
Regular spaces