Abstract
This chapter contains foundational material on spaces of diffeomorphisms and embeddings. Such spaces are known to be Fréchet manifolds, separable when the manifolds involved are compact. Versions of these and related facts are developed for manifolds with boundary, as well as in the context of fiber-preserving diffeomorphisms and maps. The latter utilizes a modification of the exponential map, called the aligned exponential, adapted to the fibered structure.
Original language | English |
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Title of host publication | Diffeomorphisms of Elliptic 3-Manifolds |
Publisher | Springer Verlag |
Pages | 9-17 |
Number of pages | 9 |
ISBN (Print) | 9783642315633 |
DOIs | |
Publication status | Published - 2012 |
Publication series
Name | Lecture Notes in Mathematics |
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Volume | 2055 |
ISSN (Print) | 0075-8434 |
ISSN (Electronic) | 1617-9692 |
Bibliographical note
Publisher Copyright:© 2012, Springer-Verlag Berlin Heidelberg.
Keywords
- Homotopy Type
- Horizontal Lift
- Horizontal Part
- Local Chart
- Vector Field
ASJC Scopus subject areas
- Algebra and Number Theory