Global Riemannian Geometry: Curvature and Topology by Ana Hurtado, Steen Markvorsen, Maung Min-Oo, Vicente Palmer.

Global Riemannian Geometry: Curvature and Topology

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 p...

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Bibliographic Details
Main Authors: Hurtado, Ana (Author), Markvorsen, Steen (Author), Min-Oo, Maung (Author), Palmer, Vicente (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020.
Edition:2nd ed. 2020.
Series:Advanced courses in mathematics, CRM Barcelona.
Subjects:
Global analysis (Mathematics)
Manifolds (Mathematics)
Geometry, Differential.
Complex manifolds.
Online Access: Full text (Wentworth users only)
Description
Summary: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.
Physical Description:VII, 121 pages 1 illustration : online resource.
ISBN:9783030552930
ISSN:2297-0304
DOI:10.1007/978-3-030-55293-0

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