
Riemannian Geometry and Geometric Analysis
Jürgen Jost(Author)
Springer (Publisher)
4th Edition
Published on 1. August 2005
Book
Paperback/Softback
XIII, 566 pages
978-3-540-25907-7 (ISBN)
Article exhausted; check for reprint
Description
This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research. Besides several smaller additions, reorganizations, corrections, and a systematic bibliography, the main new features of the 4th edition are a systematic introduction to Kahler geometry and the presentation of additional techniques from geometric analysis. 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." - "Math Reviews".
More details
Series
Edition
4th ed.
Language
English
Place of publication
Heidelberg
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Edition type
Revised edition
Illustrations
14
14 s/w Abbildungen
14 black & white illustrations, 10 black & white line drawings, 4 colour line drawings
Dimensions
Height: 23.5 cm
Width: 15.5 cm
ISBN-13
978-3-540-25907-7 (9783540259077)
DOI
10.1007/3-540-28891-0
Schweitzer Classification
Other editions
New editions

Jürgen Jost
Riemannian Geometry and Geometric Analysis
Book
10/2017
7th Edition
Springer
€106.99
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Jürgen Jost
Riemannian Geometry and Geometric Analysis
Book
03/2008
5th Edition
Springer
€48.10
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Additional editions

Jürgen Jost
Riemannian Geometry and Geometric Analysis
E-Book
11/2005
4th Edition
Springer
€48.10
Available for download
Previous edition

Jürgen Jost
Riemannian Geometry and Geometric Analysis
Book
11/2001
3rd Edition
Springer
€85.59
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Content
Foundational Material.- De Rham Cohomology and Harmonic Differential Forms.- Parallel Transport, Connections, and Covariant Derivatives.- Geodesics and Jacobi Fields.- Symmetric Spaces and Kähler Manifolds.- Morse Theory and Floer Homology.- Variational Problems from Quantum Field Theory.- Harmonic Maps.