Foundations of Differentiable Manifolds and Lie Groups

  • Frank W. Warner

Part of the Graduate Texts in Mathematics book series (GTM, volume 94)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Frank W. Warner
    Pages 1-52
  3. Frank W. Warner
    Pages 53-80
  4. Frank W. Warner
    Pages 81-136
  5. Frank W. Warner
    Pages 137-160
  6. Frank W. Warner
    Pages 161-217
  7. Frank W. Warner
    Pages 219-258
  8. Back Matter
    Pages 259-274

About this book


Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. It includes differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provides a proof of the de Rham theorem via sheaf cohomology theory, and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find this beginning graduate-level text extremely useful.


Cohomology Differenzierbare Mannigfaltigkeit Groupssche Gruppe Manifolds Sheaf cohomology

Authors and affiliations

  • Frank W. Warner
    • 1
  1. 1.Department of Mathematics E1University of PennsylvaniaPhiladelphiaUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York 1983
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-2820-7
  • Online ISBN 978-1-4757-1799-0
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site