Riemannian Geometry and Geometric Analysis (Universitext)
Editorial Reviews
Book 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
Book Info
New third edition gives a new presentation of Morse theory and Floer homology that emphasizes the geometric aspects and integrates it into the context of Riemannian geometry and geometric analysis. Also gives a new presentation of the geometric aspects of harmonic maps. Softcover.
--This text refers to the
Paperback
edition.
Riemannian Geometry and Geometric Analysis (Universitext),Jürgen Jost,Springer,3540259074,Geometry - Differential,Geometry - General,Mathematical Physics,Mathematics,Science/Mathematics,Differential & Riemannian geometry,Mathematics / Geometry / Differential,Morse theory,Riemannian geometry,Seiber-Witten functionals,harmonic maps,symmetric spaces
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