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Global Riemannian Geometry: Curvature and Topology

Author: Steen Markvorsen; Maung Min-Oo
Publisher: Basel : Birkhäuser Basel, 2003.
Series: Advanced courses in mathematics, CRM Barcelona.
Edition/Format:   eBook : Bibliographic data : EnglishView all editions and formats
Summary:
The book contains a clear exposition of two contemporary topics in modern differential geometry: - distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature - the application of the Lichnerowicz formula for Dirac operators to the study of Gromov's invariants to measure the K-theoretic size of a Riemannian manifold. It  Read more...
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Details

Genre/Form: Electronic books
Material Type: Bibliographic data, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Steen Markvorsen; Maung Min-Oo
ISBN: 9783034880558 3034880553
OCLC Number: 840290347
Description: 1 online resource (100 pages).
Series Title: Advanced courses in mathematics, CRM Barcelona.
Responsibility: edited by Steen Markvorsen, Maung Min-Oo.

Abstract:

The book contains a clear exposition of two contemporary topics in modern differential geometry: - distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature - the application of the Lichnerowicz formula for Dirac operators to the study of Gromov's invariants to measure the K-theoretic size of a Riemannian manifold. It is intended for both graduate students and researchers who want to get a quick and modern introduction to these topics.

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