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＜E-Book＞
Global Riemannian Geometry: Curvature and Topology / by Ana Hurtado, Steen Markvorsen, Maung Min-Oo, Vicente Palmer
(Advanced Courses in Mathematics - CRM Barcelona. ISSN:22970312)

Edition	2nd ed. 2020.
Publisher	(Cham : Springer International Publishing : Imprint: Birkhäuser)
Year	2020
Size	VII, 121 p. 1 illus : online resource
Authors	*Hurtado, Ana author Markvorsen, Steen author Min-Oo, Maung author Palmer, Vicente author SpringerLink (Online service)
Subjects	LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Geometry, Differential FREE:Global Analysis and Analysis on Manifolds FREE:Differential Geometry FREE:Manifolds and Cell Complexes
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-030-55293-0

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