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Riemannian Geometry and Geometric Analysis

  • Textbook
  • © 2005

Overview

Authors:
  1. Jürgen Jost

    1. Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany

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  • Established textbook
  • Continues to lead its readers to some of the hottest topics of contemporary mathematical research
  • Includes supplementary material: sn.pub/extras

Part of the book series: Universitext (UTX)

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Table of contents (8 chapters)

  1. Front Matter

    Pages I-XIII
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  2. Foundational Material

    Pages 1-81

  3. De Rham Cohomology and Harmonic Differential Forms

    Pages 83-103

  4. Parallel Transport, Connections, and Covariant Derivatives

    Pages 105-170

  5. Geodesics and Jacobi Fields

    Pages 171-235

  6. Symmetric Spaces and Kähler Manifolds

    Pages 237-291

  7. Morse Theory and Floer Homology

    Pages 293-384

  8. Variational Problems from Quantum Field Theory

    Pages 385-399

  9. Harmonic Maps

    Pages 401-530

  10. Back Matter

    Pages 531-570
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Keywords

Authors and Affiliations

  • Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany

    Jürgen Jost

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