Nonlinear Methods in Riemannian and Kählerian Geometry

In this book, I present an expanded version of the contents of my lectures at a Seminar of the DMV (Deutsche Mathematiker Vereinigung) in Diisseldorf, June, 1986. The title "Nonlinear methods in complex geometry" already indicates a combination of techniques from nonlinear partial differen...

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Bibliographic Details
Main Author: Jost, J.
Format: eBook
Language:English
Published: Basel Birkhäuser 1988, 1988
Edition:1st ed. 1988
Series:Oberwolfach Seminars
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1. Geometric preliminaries
  • 2. Some principles of analysis
  • 3. The heat flow on manifolds. Existence and uniqueness of harmonic maps into nonpositively curved image manifolds
  • 4. The parabolic Yang-Mills equation
  • 5. Geometric applications of harmonic maps
  • Appendix: Some remarks on notation and terminology