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Global Riemannian geometry = curvatu...

Hurtado, Ana.

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Global Riemannian geometry = curvature and topology /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Global Riemannian geometry/ by Ana Hurtado ... [et al.].
其他題名:	curvature and topology /
其他作者:	Hurtado, Ana.
出版者:	Cham :Springer International Publishing : : 2020.,
面頁冊數:	vii, 121 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Global Riemannian geometry. -
電子資源:	https://doi.org/10.1007/978-3-030-55293-0
ISBN:	9783030552930

Global Riemannian geometry = curvature and topology /
Global Riemannian geometrycurvature and topology /[electronic resource] :by Ana Hurtado ... [et al.]. - Second edition. - Cham :Springer International Publishing :2020. - vii, 121 p. :ill., digital ;24 cm. - Advanced courses in mathematics - CRM Barcelona,2297-0304. - Advanced courses in mathematics - CRM Barcelona..

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.

ISBN: 9783030552930

Standard No.: 10.1007/978-3-030-55293-0doiSubjects--Topical Terms:

811843
Global Riemannian geometry.

LC Class. No.: QA671

Dewey Class. No.: 516.362

Global Riemannian geometry = curvature and topology /
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520 $a 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.
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