Diffeomorphisms and Embeddings of Manifolds

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

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

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 languageEnglish
Title of host publicationDiffeomorphisms of Elliptic 3-Manifolds
PublisherSpringer Verlag
Pages9-17
Number of pages9
ISBN (Print)9783642315633
DOIs
Publication statusPublished - 2012 Jan 1

Publication series

NameLecture Notes in Mathematics
Volume2055
ISSN (Print)0075-8434
ISSN (Electronic)1617-9692

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Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Hong, S., Kalliongis, J., McCullough, D., & Rubinstein, J. H. (2012). Diffeomorphisms and Embeddings of Manifolds. In Diffeomorphisms of Elliptic 3-Manifolds (pp. 9-17). (Lecture Notes in Mathematics; Vol. 2055). Springer Verlag. https://doi.org/10.1007/978-3-642-31564-0_2