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© 1979

Complex Manifolds without Potential Theory

with an appendix on the geometry of characteristic classes

Textbook

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-v
  2. Shiing-shen Chern
    Pages 1-6
  3. Shiing-shen Chern
    Pages 23-31
  4. Shiing-shen Chern
    Pages 31-46
  5. Shiing-shen Chern
    Pages 46-55
  6. Shiing-shen Chern
    Pages 55-68
  7. Shiing-shen Chern
    Pages 68-83
  8. Shiing-shen Chern
    Pages 83-94
  9. Back Matter
    Pages 95-154

About this book

Introduction

From the reviews of the second edition: "The new methods of complex manifold theory are very useful tools for investigations in algebraic geometry, complex function theory, differential operators and so on. The differential geometrical methods of this theory were developed essentially under the influence of Professor S.-S. Chern's works. The present book is a second edition... It can serve as an introduction to, and a survey of, this theory and is based on the author's lectures held at the University of California and at a summer seminar of the Canadian Mathematical Congress....
The text is illustrated by many examples... The book is warmly recommended to everyone interested in complex differential geometry." #Acta Scientiarum Mathematicarum, 41, 3-4#

Keywords

Manifolds Potential theory Vector field differential geometry komplexe Mannigfaltigkeit manifold

Authors and affiliations

  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

Bibliographic information

  • Book Title Complex Manifolds without Potential Theory
  • Book Subtitle with an appendix on the geometry of characteristic classes
  • Authors Shiing-shen Chern
  • Series Title Universitext
  • DOI https://doi.org/10.1007/978-1-4684-9344-3
  • Copyright Information Springer-Verlag New York 1979
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-0-387-90422-1
  • eBook ISBN 978-1-4684-9344-3
  • Series ISSN 0172-5939
  • Series E-ISSN 2191-6675
  • Edition Number 2
  • Number of Pages V, 154
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published by Van Nostrand, 1968
  • Topics Analysis
  • Buy this book on publisher's site
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Reviews

From the reviews of the second edition: "The new methods of complex manifold theory are very useful tools for investigations in algebraic geometry, complex function theory, differential operators and so on. The differential geometrical methods of this theory were developed essentially under the influence of Professor S.-S. Chern's works. The present book is a second edition... It can serve as an introduction to, and a survey of, this theory and is based on the author's lectures held at the University of California and at a summer seminar of the Canadian Mathematical Congress.... The text is illustrated by many examples... The book is warmly recommended to everyone interested in complex differential geometry." #Acta Scientiarum Mathematicarum, 41, 3-4#