An Invitation to Alexandrov Geometry - CAT(0) Spaces (Paperback, 1st ed. 2019)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	SpringerBriefs in Mathematics
Release date:	May 2019
First published:	2019
Authors:	Stephanie Alexander • Vitali Kapovitch • Anton Petrunin
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	88
Edition:	1st ed. 2019
ISBN-13:	978-3-03-005311-6
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
LSN:	3-03-005311-3
Barcode:	9783030053116

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