Title: Global Riemannian geometry
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.
Subjects: Differential & Riemannian geometry, Mathematical Analysis, Mathematics, Science/Mathematics, Geometry - Analytic, Geometry - Differential, Mathematics / Mathematical Analysis, Geometry, riemannian, Global Riemannian geometry, Global analysis, Global differential geometry, Cell aggregation, Global analysis (Mathematics)