submersion
A differentiable map differential manifolds and is called a submersion at a point if the tangent map
between the tangent spaces of and at and is surjective.
If is a submersion at every point of , then is called a submersion. A submersion is an open mapping, and its image is an open submanifold of .
A fibre bundle over a manifold is an example of a submersion.
Title | submersion |
---|---|
Canonical name | Submersion |
Date of creation | 2013-03-22 15:28:49 |
Last modified on | 2013-03-22 15:28:49 |
Owner | pbruin (1001) |
Last modified by | pbruin (1001) |
Numerical id | 4 |
Author | pbruin (1001) |
Entry type | Definition |
Classification | msc 53-00 |
Classification | msc 57R50 |
Related topic | Immersion |