Global Riemannian geometry
Subtitle: curvature and topology
By: Steen Markvorsen, Maung Min-Oo.
Publisher: Birkhuser Verlag
Published: 2003
Place of publication: Basel
Language: eng
Number of pages: 87
Description: 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.