- #1
Geometry_dude
- 112
- 20
"Everyone" knows what an affine connection on a smooth manifold is a.k.a. covariant derivative. My questions are:
i) Why are those connections called affine?
ii) Is there a mathematical object that 'connects neighboring tangent spaces', that could be termed a 'non-affine connection'?
i) Why are those connections called affine?
ii) Is there a mathematical object that 'connects neighboring tangent spaces', that could be termed a 'non-affine connection'?