Difference between revisions of "Diffeomorphism"
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Latest revision as of 06:41, 7 April 2015
Definition
A diffeomorphism[1] is a special kind of homeomorphism, a function [ilmath]f[/ilmath] is said to be a diffeomorphism if:
- [ilmath]f[/ilmath] is bijective
- [ilmath]f[/ilmath] is smooth (all partial derivatives of all orders are continuous)
- [ilmath]f^{-1} [/ilmath] is also smooth
References
- ↑ Introduction to smooth manifolds - John M Lee - Second Edition
