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Riemannian geometry and geometric analysis /

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Bibliographic Details
Main Author: Jost, Jürgen, 1956-
Format: eBook
Language:English
Published: Heidelberg ; New York : Springer, [2011]
Edition:6th ed.
Series:Universitext
Subjects:
Geometry, Riemannian.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 1. Riemannian manifolds
  • 2. Lie groups and vector bundles
  • 3. The Laplace operator and harmonic differential forms
  • 4. Connections and curvature
  • 5. Geodesics and Jacobi fields
  • A short survey on curvature and topology
  • 6. Symmetric spaces and Kähler manifolds
  • 7. Morse theory and Floer homology
  • 8. Harmonic maps between Riemannian manifolds
  • 9. Harmonic maps from Riemann surfaces
  • 10. Variational problems from quantum field theory
  • A. Linear elliptic partial differential equations
  • B. Fundamentals groups and covering spaces.