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A panoramic view of Riemannian geometry

Author: Marcel Berger
Publisher: Berlin ; New York : Springer, ©2003.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
Riemannian geometry has today become a vast and important subject. This new book of Marcel Berger sets out to introduce readers to most of the living topics of the field and convey them quickly to the main results known to date. These results are stated without detailed proofs but the main ideas involved are described and motivated. This enables the reader to obtain a sweeping panoramic view of almost the entirety  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Marcel Berger
ISBN: 3540653171 9783540653172 9783642182457 3642182453
OCLC Number: 52714493
Description: xxiii, 824 pages : illustrations ; 24 cm
Contents: Euclidean geometry --
Transition --
Surfaces from GauB to today --
Riemann's blueprints --
A one page panorama --
Metric geometry and curvature --
Volumes and inequalities on volumes of cycles --
Transition: the next two chapters --
Spectrum of the Laplacian --
Geodesic dynamics --
Best metrics --
From curvatures to topology --
Holonomy groups and Kahler manifolds --
Some other important topics --
The technical chapter.
Responsibility: Marcel Berger.
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Abstract:

In this work the author introduces the main topics of Riemannian geometry. Since a Riemannian manifold is a subtle object, appealing to highly non-natural concepts, the first three chapters introduce  Read more...

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From the reviews: "In this monumental work, Marcel Berger manages to survey large parts of present day Riemannian geometry. ... the book offers a great opportunity to get a first impression of some Read more...

 
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