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Sobolev Spaces on Riemannian Manifolds

  • Authors
  • Emmanuel Hebey

Part of the Lecture Notes in Mathematics book series (LNM, volume 1635)

Table of contents

  1. Front Matter
    Pages i-x
  2. Emmanuel Hebey
    Pages 1-9
  3. Emmanuel Hebey
    Pages 10-16
  4. Emmanuel Hebey
    Pages 17-57
  5. Emmanuel Hebey
    Pages 58-89
  6. Emmanuel Hebey
    Pages 90-105
  7. Back Matter
    Pages 106-116

About this book

Introduction

Several books deal with Sobolev spaces on open subsets of R (n), but none yet with Sobolev spaces on Riemannian manifolds, despite the fact that the theory of Sobolev spaces on Riemannian manifolds already goes back about 20 years. The book of Emmanuel Hebey will fill this gap, and become a necessary reading for all using Sobolev spaces on Riemannian manifolds.
Hebey's presentation is very detailed, and includes the most recent developments due mainly to the author himself and to Hebey-Vaugon. He makes numerous things more precise, and discusses the hypotheses to test whether they can be weakened, and also presents new results.

Keywords

Sobolev space differential geometry manifold riemannian manifolds sobolev spaces

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0092907
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-61722-8
  • Online ISBN 978-3-540-69993-4
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site
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