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Global Riemannian Geometry: Curvature and Topology. 2nd ed. 2020

種類:
電子ブック
責任表示:
by Ana Hurtado, Steen Markvorsen, Maung Min-Oo, Vicente Palmer
出版情報:
Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
著者名:
シリーズ名:
Advanced Courses in Mathematics - CRM Barcelona ;
ISBN:
9783030552930 [3030552934]  CiNii Books  Calil
注記:
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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