Universitext

Riemannian Geometry and Geometric Analysis

Authors: Jost, Jürgen

  • Established textbook
  • Continues to lead its readers to some of the hottest topics of contemporary mathematical research
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eBook $54.99
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  • ISBN 978-3-540-77341-2
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About this Textbook

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  

Table of contents (9 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-77341-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Riemannian Geometry and Geometric Analysis
Authors
Series Title
Universitext
Copyright
2008
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-77341-2
DOI
10.1007/978-3-540-77341-2
Series ISSN
0172-5939
Edition Number
5
Number of Pages
XIV, 590
Number of Illustrations and Tables
10 b/w illustrations, 4 illustrations in colour
Topics