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Diffeomorphisms and Embeddings of Manifolds

  • Sungbok Hong
  • John Kalliongis
  • Darryl McCullough
  • J. Hyam Rubinstein
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 2055)

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.

Keywords

Vector Field Homotopy Type Local Chart Horizontal Part Horizontal Lift 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

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

          There are no affiliations available

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