An Invitation to Alexandrov Geometry
Download or Read eBook An Invitation to Alexandrov Geometry PDF written by Stephanie Alexander and published by Springer. This book was released on 2019-05-08 with total page 95 pages. Available in PDF, EPUB and Kindle.
Author | : Stephanie Alexander |
Publisher | : Springer |
Total Pages | : 95 |
Release | : 2019-05-08 |
ISBN-10 | : 9783030053123 |
ISBN-13 | : 3030053121 |
Rating | : 4/5 (23 Downloads) |
Book Synopsis An Invitation to Alexandrov Geometry by : Stephanie Alexander
Book excerpt: 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.