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, 2005.
• Edition: Fourth Edition.
• Series: Universitext
• Subjects: Mathematics.; Differential geometry.; Physics.; Differential Geometry.; Theoretical, Mathematical and Computational Physics.

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
• Variational Problems from Quantum Field Theory
• Harmonic Maps.