Foundations of hyperbolic manifolds
By: John G. Ratcliffe.
Series: Graduate texts in mathematics ;; 149
Publisher: Springer-Verlag
Published: 1994
Place of publication: New York
Language: eng
Number of pages: 747
Subjects: Geometry, Hyperbolic.; Hyperbolic spaces.
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.
Notes: Includes bibliographical references (p. 715-735) and index.