书目名称 | Global Riemannian Geometry: Curvature and Topology |
编辑 | Ana Hurtado,Steen Markvorsen,Vicente Palmer |
视频video | |
概述 | Discussion of the Laplacian as a ‘swift‘ operator on minimal submanifolds in ambient spaces with small sectional curvatures.Use of Dirac operators for general relativity.Contains a clear exposition of |
丛书名称 | Advanced Courses in Mathematics - CRM Barcelona |
图书封面 |  |
描述 | .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 whichhave 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.. |
出版日期 | Textbook 2020Latest edition |
关键词 | Differential Topology; Global Analysis; Riemannian geometry; Riemannian manifold; curvature; manifold |
版次 | 2 |
doi | https://doi.org/10.1007/978-3-030-55293-0 |
isbn_softcover | 978-3-030-55292-3 |
isbn_ebook | 978-3-030-55293-0Series ISSN 2297-0304 Series E-ISSN 2297-0312 |
issn_series | 2297-0304 |
copyright | Springer Nature Switzerland AG 2020 |