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Foundations of Hyperbolic Manifolds
Author(s): John G. Ratcliffe (Author)
- Publisher: Springer-Verlag New York Inc.
- Publication Date: 29 Sept. 1994
- Edition: 1st
- Language: English
- Print length: 768 pages
- ISBN-10: 038794348X
- ISBN-13: 9780387943480
Book Description
This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. The reader is assumed to have a basic knowledge of algebra and topology at the first year graduate level of an American university. The book is divided into three parts. The first part, Chapters 1-7, is concerned with hyperbolic geometry and discrete groups. The second part, Chapters 8-12, is devoted to the theory of hyperbolic manifolds. The third part, Chapter 13, integrates the first two parts in a development of the theory of hyperbolic orbifolds. There are over 500 exercises in this book and more than 180 illustrations.
