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Full 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 curvaturethe 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.
Contents
Distance Geometric Analysis on Manifolds (Steen Markvorsen) .- The Dirac Operator in Geometry and Physics (Maung Min-Oo)