##
The tubular neighborhood theorem
*November 5, 2009*

*Posted by Akhil Mathew in differential geometry, MaBloWriMo.*

Tags: collar neighborhood theorem, connections, exponential map, tubular neighborhood theorem

4 comments

Tags: collar neighborhood theorem, connections, exponential map, tubular neighborhood theorem

4 comments

If is a manifold and a compact submanifold, then a **tubular neighborhood** of consists of an open set diffeomorphic to a neighborhood of the zero section in some vector bundle over , by which corresponds to the zero section.

Theorem 1Hypotheses as above, has a tubular neighborhood. (more…)