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Mathematics - Geometry & Topology | Riemannian Geometry and Geometric Analysis (Reviews)

Riemannian Geometry and Geometric Analysis

Series: Universitext

Jost, Jürgen

6th ed. 2011, XIII, 611 p. 16 illus., 4 illus. in color.

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From the reviews of the sixth edition:

“For readers familiar with the basics of differential geometry and some acquaintance with modern analysis, the book is reasonably self-contained … . The book succeeds very well in laying out the foundations of modern Riemannian geometry and geometric analysis. It introduces a number of key techniques and provides a representative overview of the field. This sixth edition contains a deeper study of the spectrum of the Laplace operator and its relation to the geometry of the underlying Riemannian manifold.” (M. Kunzinger, Monatshefte für Mathematik, Vol. 171 (3-4), September, 2013)

“The present book is the sixth edition of the author’s textbook on Riemannian geometry and geometric analysis. In general, it gives a synthesis of geometric and analytic methods in the study of Riemannian manifolds. … the book is well written. That is why I would recommend it to specialists in mathematics or physics and especially to Ph.D. students of differential geometry.” (Miroslaw Doupovec, Zentralblatt MATH, Vol. 1227, 2012)

 

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