Erschienen in:Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemàtica Advanced Courses in Mathematics - CRM Barcelona SpringerLink ; Bücher Springer eBook Collection ; Mathematics and Statistics
Beschreibung:
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