Global Riemannian Geometry: Curvature and Topology /

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 formu...

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Bibliographic Details
Main Author: Markvorsen, Steen
Corporate Author: SpringerLink (Online service)
Other Authors: Min-Oo, Maung
Format: eBook
Language:English
Published: Basel : Birkhäuser Basel, 2003.
Series:Advanced courses in mathematics, CRM Barcelona.
Subjects:
Online Access:Connect to the full text of this electronic book
Description
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 is intended for both graduate students and researchers who want to get a quick and modern introduction to these topics.
Item Description:Electronic resource.
Physical Description:1 online resource (100 pages)
ISBN:9783034880558 (electronic bk.)
3034880553 (electronic bk.)