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Global Riemannian Geometry: Curvature and Topology

Global Riemannian Geometry: Curvature and Topology PDF Author: Steen Markvorsen
Publisher: Birkhäuser
ISBN: 3034880553
Category : Mathematics
Languages : en
Pages : 96

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Book Description
This 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.