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  • Textbook
  • © 1998

Riemannian Geometry and Geometric Analysis

Authors:

  1. Jürgen Jost

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

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  • Jost's book attempts a synthesis of geometric and analytic method on the way to Riemannian geometry and the author achieves this goal.
  • The result is an excellent book."
  • Acta Scientiarum Mathematicarum, 62.1996.
  • The new edition includes material on Ginzburg-Landau and Seiberg-Witten functionals, spin geometry, Dirac operators.

Part of the book series: Universitext (UTX)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XIII
    PDF

  2. Foundational Material

    • Jürgen Jost
    Pages 1-77

  5. Geodesics and Jacobi Fields

    • Jürgen Jost
    Pages 163-201

  6. A Short Survey on Curvature and Topology

    • Jürgen Jost
    Pages 203-209

  7. Morse Theory and Closed Geodesics

    • Jürgen Jost
    Pages 211-248

  8. Symmetric Spaces and Kähler Manifolds

    • Jürgen Jost
    Pages 249-299

  10. Harmonic Maps

    • Jürgen Jost
    Pages 315-422

  12. Back Matter

    Pages 439-458
    PDF
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About this book

From the reviews: "This book provides a very readable introduction to Riemannian geometry and geometric analysis. The author focuses on using analytic methods in the study of some fundamental theorems in Riemannian geometry, e.g., the Hodge theorem, the Rauch comparison theorem, the Lyusternik and Fet theorem and the existence of harmonic mappings. With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome. It is a good introduction to Riemannian geometry. The book is made more interesting by the perspectives in various sections. where the author mentions the history and development of the material and provides the reader with references." Math. Reviews. The 2nd ed. includes new material on Ginzburg-Landau, Seibert-Witten functionals, spin geometry, Dirac operators.
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Keywords

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Authors and Affiliations

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

    Jürgen Jost

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Bibliographic Information

  • Book Title: Riemannian Geometry and Geometric Analysis

  • Authors: Jürgen Jost

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-3-662-22385-7

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1998

  • eBook ISBN: 978-3-662-22385-7Published: 11 November 2013

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 2

  • Number of Pages: XIII, 458

  • Topics: Differential Geometry

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eBook USD 44.99
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  • Instant download
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