Riemannian Geometry and Geometric Analysis

• Main Author: Jost, Jürgen (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Universitext
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Differential geometry.; Physics.; Differential Geometry.; Theoretical, Mathematical and Computational Physics.; 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...

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.