- #1
math6
- 67
- 0
can we define a metric on a submanifold of as follows:
M is a manifold equipped with a Riemannian metric g, we denote (M, g), and S is a submanifold of M.
an application i of S to M is an immersion, i * is the linear tangent; then a metric on S G is given by G = goi*.
M is a manifold equipped with a Riemannian metric g, we denote (M, g), and S is a submanifold of M.
an application i of S to M is an immersion, i * is the linear tangent; then a metric on S G is given by G = goi*.