# Self-diffeomorphism group

From Diffgeom

Revision as of 15:33, 28 February 2008 by Vipul (talk | contribs) (New page: ==Definition== The '''self-diffeomorphism group''' of a differential manifold is defined as follows: * It is the group of all diffeomorphisms from the manifold to itself, under c...)

## Definition

The **self-diffeomorphism group** of a differential manifold is defined as follows:

- It is the group of all diffeomorphisms from the manifold to itself, under composition.
- It is the automorphism group of the differential manifold, viewed as an object in the category of differential manifolds with smooth maps