Global Riemannian Geometry: Curvature and Topology
2nd ed. 2020
Book Details
Format
Paperback / Softback
Book Series
Advanced Courses in Mathematics - CRM Barcelona
ISBN-10
3030552926
ISBN-13
9783030552923
Edition
2nd ed. 2020
Publisher
Springer Nature Switzerland AG
Imprint
Springer Nature Switzerland AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Aug 20th, 2020
Print length
121 Pages
Weight
246 grams
Dimensions
16.80 x 24.00 x 2.00 cms
Product Classification:
Differential & Riemannian geometryDifferential and Riemannian geometryAnalytic geometry
Ksh 4,500.00
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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 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.
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