Description
This heavily class-tested book is an exposition of the theoretical foundations of hyperbolic manifolds. It is a both a textbook and a reference. A basic knowledge of algebra and topology at the first year graduate level of an American university is assumed. The first part is concerned with hyperbolic geometry and discrete groups. The second part is devoted to the theory of hyperbolic manifolds. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. Each chapter contains exercises and a section of historical remarks. A solutions manual is available separately.
Author: John G. Ratcliffe
Publisher: Springer
Published: 11/07/2020
Pages: 800
Binding Type: Paperback
Weight: 2.95lbs
Size: 9.20h x 6.10w x 1.60d
ISBN13: 9783030315993
ISBN10: 3030315991
BISAC Categories:
- Mathematics | Geometry | General
- Mathematics | Topology | General
- Mathematics | Group Theory
About the Author
John G. Ratcliffe is Professor of Mathematics at Vanderbilt University. His research interests range from low-dimensional topology and hyperbolic manifolds to cosmology.