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Global Riemannian Geometry: Curvature and Topology (2020)
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Publisher
Birkhäuser
Published
Aug 20, 2020
ISBN-13
9783030552923

Global Riemannian Geometry: Curvature and Topology (2020)

by Hurtado, Ana
No customer reviews yet ISBN 9783030552923 Birkhäuser

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 study of scalar curvature rigidity and positive mass theorems using spinors and the Dirac operator

It is intended for both graduate students and researchers.

This second edition has been updated to include recent developments such as promising results concerning the geometry of exit time moment spectra and potential analysis in weighted Riemannian manifolds, as well as results pertaining to an early conjecture on the geometry of the scalar curvature and speculations on new geometric approaches to the Index Theorem.

Product details

BrandBirkhäuser
Pub dateAug 20, 2020
ISBN-103030552926
ISBN-139783030552923
LanguageEnglish
Dimensions9.45 × 0.31 × 6.61 in
Weight1 lb
Last updated 2026-10-23 01:27
$31.48
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