ENGLISH

Riemannian Geometry and Geometric Analysis

Book information

Publisher
Springer
Year
2005
ISBN
3-540-25907-4
Open Library ID
OL9055572M
Language
english
Format
PDF
Filesize
4 MB (4228026 bytes)
Series
Universitext
Edition
4th
Pages
573\573
Time added
2010-04-25 21:59:20

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 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

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