Global Riemannian Geometry: Curvature and Topology

By Steen Markvorsen

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.

• Format: Paperback
• Language: English
• ISBN: 0817621709
• ISBN13: 9780817621704
• Release Date: January 2003
• Publisher: Birkhauser
• Length: 87 Pages