The Structure of Classical Diffeomorphism Groups
In the 60's, the work of Anderson, Chernavski, Kirby and Edwards showed that the group of homeomorphisms of a smooth manifold which are isotopic to the identity is a simple group. This led Smale to conjecture that the group Diff'" (M)o of cr diffeomorphisms, r ~ 1, of a smooth manifol...
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Format: | eBook |
Language: | English |
Published: |
New York, NY
Springer US
1997, 1997
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Edition: | 1st ed. 1997 |
Series: | Mathematics and Its Applications
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Subjects: | |
Online Access: | |
Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Diffeomorphism Groups: A First Glance
- 2. The Simplicity of Diffeomorphism Groups
- 3. The Geometry of the Flux
- 4. Symplectic Diffeomorphisms
- 5. Volume Preserving Diffeomorphisms
- 6. Contact Diffeomorphisms
- 7. Isomorphisms Between Diffeomorphism Groups