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Riemannian Geometry and Geometric Analysis

✍ Scribed by Jürgen Jost

Publisher: Springer
Year: 2005
Tongue: English
Leaves: 573
Series: Universitext
Edition: 4th
Category: Library

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✦ Synopsis

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 Kähler 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

✦ Table of Contents

front-matter.pdf......Page 1
01.pdf......Page 11
02.pdf......Page 92
03.pdf......Page 113
04.pdf......Page 179
05.pdf......Page 243
06.pdf......Page 298
07.pdf......Page 390
08.pdf......Page 405
back-matter.pdf......Page 535

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