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Riemannian geometry

Author: Peter Petersen
Publisher: New York : Springer, ©2006.
Series: Graduate texts in mathematics, 171.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Summary:
Intended for a one year course, this volume serves as a single source, introducing students to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialize in Riemannian geometry. This is one of the few works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory, while also presenting  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Peter Petersen
ISBN: 0387292462 9780387292465 1441921230 9781441921239 9780387294032 0387294031
OCLC Number: 71121685
Description: xv, 401 pages : illustrations ; 24 cm.
Contents: Riemannian metrics --
Curvature --
Examples --
Hypersurfaces --
Geodesics and distance --
Sectional curvature comparison I --
The Bochner technique --
Symmetric spaces and holonomy --
Ricci curvature comparison --
Convergence --
Sectional curvature comparison II.
Series Title: Graduate texts in mathematics, 171.
Responsibility: Peter Petersen.
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Abstract:

This comprehensive introduction to Riemannian Geometry offers a detailed and engaging account of the topic, plus numerous exercises and examples. It combines both the geometric parts of Riemannian  Read more...

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From the reviews of the second edition:P. PetersenRiemannian Geometry"A nice introduction to Riemannian geometry, containing basic theory as well as several advanced topics."-EUROPEAN MATHEMATICAL Read more...

 
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