Framable submanifold: Difference between revisions
(New page: ==Definition== A submanifold of a) |
No edit summary |
||
| Line 1: | Line 1: | ||
{{differential submanifold property}} | |||
==Definition== | ==Definition== | ||
A [[submanifold]] of a | A [[submanifold]] of a [[differential manifold]] is termed '''framable''' if it satisfies the following equivalent conditions: | ||
* The [[normal bundle of a submanifold|normal bundle]] to the submanifold inside the manifold is a [[trivial vector bundle]] | |||
* There exists a [[framing of a submanifold|framing]] of the submanifold; in other words, it can be given the structure of a framed submanifold | |||
Revision as of 01:07, 28 February 2008
Template:Differential submanifold property
Definition
A submanifold of a differential manifold is termed framable if it satisfies the following equivalent conditions:
- The normal bundle to the submanifold inside the manifold is a trivial vector bundle
- There exists a framing of the submanifold; in other words, it can be given the structure of a framed submanifold