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Hyperbolic Manifolds and Kleinian Groups
Language: en
Pages: 265
Authors: Katsuhiko Matsuzaki
Categories: Mathematics
Type: BOOK - Published: 1998-04-30 - Publisher: Clarendon Press

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A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3-space, which is also regarded as a subgroup of Möbius transformations in the comp
Hyperbolic Manifolds and Discrete Groups
Language: en
Pages: 486
Authors: Michael Kapovich
Categories: Mathematics
Type: BOOK - Published: 2009-08-04 - Publisher: Springer Science & Business Media

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Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology,
Outer Circles
Language: en
Pages: 393
Authors: A. Marden
Categories: Mathematics
Type: BOOK - Published: 2007-05-31 - Publisher: Cambridge University Press

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We live in a three-dimensional space; what sort of space is it? Can we build it from simple geometric objects? The answers to such questions have been found in
The Arithmetic of Hyperbolic 3-Manifolds
Language: en
Pages: 472
Authors: Colin Maclachlan
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

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Recently there has been considerable interest in developing techniques based on number theory to attack problems of 3-manifolds; Contains many examples and lots
Foundations of Hyperbolic Manifolds
Language: en
Pages: 761
Authors: John Ratcliffe
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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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. Particular e