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  • Textbook
  • © 2008

Riemannian Geometry and Geometric Analysis

Authors:

  • 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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eBook USD 54.99
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  • ISBN: 978-3-540-77341-2
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About this book

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 closed geodesics and harmonic forms. It also discusses further examples of geometric variational problems from quantum field theory, another source of profound new ideas and methods in geometry.

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. [..] The book is made more interesting by the perspectives in various sections." Mathematical Reviews  

Keywords

  • Floer homology
  • Kähler geometry
  • Morse theory
  • Riemannian geometry
  • Seiber-Witten functionals
  • curvature
  • harmonic maps
  • manifold
  • symmetric spaces

Authors and Affiliations

  • Max Planck Institute for Mathematics in the Sciences, 04103, Germany

    Jürgen Jost

Bibliographic Information

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • ISBN: 978-3-540-77341-2
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout