Riemannian Geometry and Geometric Analysis

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pic info: 2007-05-29/1_531_orig
Jürgen Jost , \"Riemannian Geometry and Geometric Analysis\"
Springer | ISBN / ASIN:3540259074 | 2005 | 566 pages | PDF | 3.4MB
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 K hler geometry and the presentation of additional techniques from geometric analysis.
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.

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