Diffeomorphisms and Embeddings of Manifolds

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

    Research output: Chapter in Book/Report/Conference proceedingChapter

    11 Citations (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

    Publication series

    NameLecture Notes in Mathematics
    Volume2055
    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

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