Global Riemannian Geometry : Curvature and Topology (Advanced Courses in Mathematics CRM Barcelona) （2003. 87 p. w. 19 figs. 24 cm）

Global Riemannian Geometry : Curvature and Topology (Advanced Courses in Mathematics CRM Barcelona) （2003. 87 p. w. 19 figs. 24 cm）

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  • 製本 Paperback:紙装版/ペーパーバック版／ページ数 87 p.
  • 商品コード 9783764321703

Full Description


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 curvaturethe 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.

Contents

Distance Geometric Analysis on Manifolds (Steen Markvorsen) .- The Dirac Operator in Geometry and Physics (Maung Min-Oo)