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Foundations of hyperbolic manifolds

Author: John G Ratcliffe
Publisher: New York : Springer, ©2006.
Series: Graduate texts in mathematics, 149.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Database:WorldCat
Summary:
"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 book is divided into three parts. The first part is concerned with hyperbolic geometry and discrete groups. The main results are the characterization of hyperbolic reflection groups and Euclidean crystallographic groups. The second part is devoted to the theory of  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: John G Ratcliffe
ISBN: 0387331972 9780387331973 9781441922021 1441922024
OCLC Number: 71779960
Description: xii, 779 pages : illustrations ; 24 cm.
Contents: Euclidean geometry --
Spherical geometry --
Hyperbolic geometry --
Inversive geometry --
Isometries of hyperbolic space --
Geometry of discrete groups --
Classical discrete groups --
Geometric manifolds --
Geometric surfaces --
Hyperbolic 3-Manifolds --
Hyperbolic n-Manifolds --
Geometrically finite n-Manifolds --
Geometric orbifolds.
Series Title: Graduate texts in mathematics, 149.
Responsibility: John G. Ratcliffe.
More information:

Abstract:

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. This book has been heavily class-tested and each  Read more...

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From the reviews of the second edition: "Designed to be useful as both textbook and a reference, this book renders a real service to the mathematical community by putting together the tools and Read more...

 
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