Global Riemannian Geometry: Curvature and Topology

Beschreibung

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 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.

Discussion of the Laplacian as a 'swift' operator on minimal submanifolds in ambient spaces with small sectional curvatures

Use of Dirac operators for general relativity

Autor*in

Steen Markvorsen

Themen in »Global Riemannian Geometry: Curvature and Topology«

Differential Topology Global Analysis Riemannian geometry Riemannian manifold curvature manifold

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