Self-diffeomorphism group: Difference between revisions
(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...) |
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Latest revision as of 20:08, 18 May 2008
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