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.
- ISBN13 9783030053116
- Publish Date 11 May 2019
- Publish Status Active
- Publish Country CH
- Imprint Springer Nature Switzerland AG
- Edition 1st ed. 2019
- Format Paperback
- Pages 88
- Language English