Overview

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 .

Full Product Details

Author:   Jurgen Jost
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   4th Revised edition
Dimensions:   Width: 15.50cm , Height: 3.20cm , Length: 23.50cm
Weight:   0.866kg
ISBN:  

9783540259077

ISBN 10:   3540259074
Pages:   579
Publication Date:   August 2005
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Fundamental Material.- De Rham Cohomology and Harmonic Differential Forms.- Parallel Transport, Connections, and Covariant Derivatives.- Geodesics and Jacobi Fields.- A Short Survey on Curvature and Topology: Symmetric Spaces and Kahler Manifolds.- Morse Theory and Floer Homology.- Variational Problems from Quantum Field Theory.- Harmonic Maps.- Appendix A: Linear Elliptic Partial Differential Equations.- Appendix B: Fundamental Groups and Covering Spaces.- Bibliography.- Index.

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