Riemannian Geometry and Geometric Analysis

This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research.This new edition introduces and explains the ideas of the parabolic methods that have recently found such a spectacular success in the work of Perelman at the examples of...

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Bibliographic Details
Main Author: Jost, Jürgen
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2008, 2008
Edition:5th ed. 2008
Series:Universitext
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Foundational Material
  • De Rham Cohomology and Harmonic Differential Forms
  • Parallel Transport, Connections, and Covariant Derivatives
  • Geodesics and Jacobi Fields
  • Symmetric Spaces and Kähler Manifolds
  • Morse Theory and Floer Homology
  • Harmonic Maps between Riemannian Manifolds
  • Harmonic maps from Riemann surfaces
  • Variational Problems from Quantum Field Theory