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An Invitation to Alexandrov Geometry

Paperback • 2019 • 1. edition

An Invitation to Alexandrov Geometry

By Stephanie Alexander, Vitali Kapovitch, Anton Petrunin

0 Ratings • 0.0 of 5

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About the book

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 aspherica...Show more

Groups and group theory

Book details

ISBN

9783030053116

Publisher

Springer Nature Switzerland AG

Published year

2019

Language

Edition

1

Original title

An Invitation to Alexandrov Geometry

Format

Paperback

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