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Some Nonlinear Problems in Riemannian Geometry

  • Thierry Aubin

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages I-XVII
  2. Thierry Aubin
    Pages 1-31
  3. Thierry Aubin
    Pages 32-69
  4. Thierry Aubin
    Pages 70-100
  5. Thierry Aubin
    Pages 101-144
  6. Thierry Aubin
    Pages 145-193
  7. Thierry Aubin
    Pages 194-250
  8. Thierry Aubin
    Pages 251-288
  9. Thierry Aubin
    Pages 289-320
  10. Thierry Aubin
    Pages 321-347
  11. Thierry Aubin
    Pages 348-364
  12. Back Matter
    Pages 365-397

About this book

Introduction

During the last few years, the field of nonlinear problems has undergone great development.This book, the core of which is the content of the author's earlier book (Springer-Verlag 1983), updated and extended in each chapter, and augmented by several completely new chapters, deals with some important geometric problems that have only recently been solved or partially been solved. Each problem is explained with the present status of its solution and the most recent methods of approaching the proofs. The main aim is to explain some methods and new techniques, and to apply them to problems coming from geometry or from physics. It deals with such important subjects as variational methods, the continuity method, parabolic equations on fiber bundles, ideas concerning points of concentration, blowing-up technique, topological methods. ..........

Keywords

Einstein Mannigfaltigkeiten Einstein manifolds Einstein-Kähler Matritzen Einstein-Kähler metrics Harmonische Maps Methoden zur Lösung nonlinearer Probleme Methods for nonlinear problems Riemannian geometry Yamabe Problem YellowSale2006 curvature harmonic maps nicht-lineare p nicht-lineare partielle Differentialgleichungen nonlinear partial differential equations

Authors and affiliations

  • Thierry Aubin
    • 1
  1. 1.University of Paris VI, MathematiquesParisFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-13006-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08236-8
  • Online ISBN 978-3-662-13006-3
  • Series Print ISSN 1439-7382
  • Buy this book on publisher's site
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