SpringerBriefs in Mathematics
© 2019
An Invitation to Alexandrov Geometry
CAT(0) Spaces
Authors: Alexander, Stephanie, Kapovitch, Vitali, Petrunin, Anton
Free Preview- Explains the importance of CAT(0) geometry in geometric group theory
- Demonstrates Alexandrov geometry through applications and theorems
- Discusses Reshetnyak gluing theorem and Hadamard-Cartan globilization theorem
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- About this 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 aspherical manifolds.
- Table of contents (4 chapters)
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Preliminaries
Pages 1-16
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Gluing theorem and billiards
Pages 17-31
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Globalization and asphericity
Pages 33-48
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Subsets
Pages 49-65
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Table of contents (4 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- An Invitation to Alexandrov Geometry
- Book Subtitle
- CAT(0) Spaces
- Authors
-
- Stephanie Alexander
- Vitali Kapovitch
- Anton Petrunin
- Series Title
- SpringerBriefs in Mathematics
- Copyright
- 2019
- Publisher
- Springer International Publishing
- Copyright Holder
- The Author(s), under exclusive licence to Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-05312-3
- DOI
- 10.1007/978-3-030-05312-3
- Softcover ISBN
- 978-3-030-05311-6
- Series ISSN
- 2191-8198
- Edition Number
- 1
- Number of Pages
- XII, 88
- Number of Illustrations
- 91 b/w illustrations
- Topics
