An Invitation to Alexandrov Geometry: Cat(0) Spaces

By Anton Petrunin, Vitali Kapovitch, Stephanie Alexander

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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.

Format:Paperback

Language:English

ISBN:3030053113

ISBN13:9783030053116

Release Date:May 2019

Publisher:Springer

Length:88 Pages

Weight:0.34 lbs.

Dimensions:0.2" x 6.1" x 9.2"

Related Subjects

Math Mathematics Science & Math

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An Invitation to Alexandrov Geometry: Cat(0) Spaces

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