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Global Riemannian Geometry: Curvature and Topology, PDF eBook

Global Riemannian Geometry: Curvature and Topology PDF

Part of the Advanced Courses in Mathematics - CRM Barcelona series

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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 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.

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