---

＜電子ブック＞
An Invitation to Alexandrov Geometry : CAT(0) Spaces / by Stephanie Alexander, Vitali Kapovitch, Anton Petrunin
(SpringerBriefs in Mathematics. ISSN:21918201)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
大きさ	XII, 88 p. 91 illus : online resource
著者標目	*Alexander, Stephanie author Kapovitch, Vitali author Petrunin, Anton author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Group theory FREE:Differential Geometry FREE:Group Theory and Generalizations
一般注記	1 Preliminaries -- 2 Gluing theorem and billiards -- 3 Globalization and asphericity -- 4 Subsets -- 5 Semisolutions Aimed toward graduate students and research mathematicians, with minimal prerequisites this book provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory. Beginning with an overview of fundamentals, definitions, and conventions, this book quickly moves forward to discuss the Reshetnyak gluing theorem and applies it to the billiards problems. The Hadamard–Cartan globalization theorem is explored and applied to construct exotic aspherical manifolds HTTP:URL=https://doi.org/10.1007/978-3-030-05312-3

 類似資料