Diffeomorphisms and Embeddings of Manifolds

Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein

Research output: Chapter in Book/Report/Conference proceedingChapter

5 Citations (Scopus)


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 languageEnglish
Title of host publicationDiffeomorphisms of Elliptic 3-Manifolds
PublisherSpringer Verlag
Number of pages9
ISBN (Print)9783642315633
Publication statusPublished - 2012

Publication series

NameLecture Notes in Mathematics
ISSN (Print)0075-8434
ISSN (Electronic)1617-9692

Bibliographical note

Publisher Copyright:
© 2012, Springer-Verlag Berlin Heidelberg.


  • Homotopy Type
  • Horizontal Lift
  • Horizontal Part
  • Local Chart
  • Vector Field

ASJC Scopus subject areas

  • Algebra and Number Theory


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