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Global Riemannian Geometry: Curvature and Topology

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Global Riemannian Geometry: Curvature and Topology/ by Ana Hurtado, Steen Markvorsen, Maung Min-Oo, Vicente Palmer.
作者:	Hurtado, Ana.
其他作者:	Palmer, Vicente.
面頁冊數:	VII, 121 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Manifolds and Cell Complexes (incl. Diff.Topology). -
電子資源:	https://doi.org/10.1007/978-3-030-55293-0
ISBN:	9783030552930

Global Riemannian Geometry: Curvature and Topology
Hurtado, Ana.

Global Riemannian Geometry: Curvature and Topology[electronic resource] /by Ana Hurtado, Steen Markvorsen, Maung Min-Oo, Vicente Palmer. - 2nd ed. 2020. - VII, 121 p. 1 illus.online resource. - 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:

668590
Manifolds and Cell Complexes (incl. Diff.Topology).

LC Class. No.: QA614-614.97

Dewey Class. No.: 514.74

Global Riemannian Geometry: Curvature and Topology
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