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Kleinian Groups which Are Limits of Geometrically Finite Groups
Language: en
Pages: 136
Authors: Ken'ichi Ōshika
Categories: Geometry, Hyperbolic
Type: BOOK - Published: 2005 - Publisher: American Mathematical Soc.

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Ahlfors conjectured in 1964 that the limit set of every finitely generated Kleinian group either has Lebesgue measure $0$ or is the entire $S^2$. This title int
Kleinian Groups
Language: en
Pages: 339
Authors: Bernard Maskit
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The modern theory of Kleinian groups starts with the work of Lars Ahlfors and Lipman Bers; specifically with Ahlfors' finiteness theorem, and Bers' observation
Kleinian Groups and Uniformization in Examples and Problems
Language: en
Pages: 212
Authors: Samuil Leĭbovich Krushkalʹ
Categories: Kleinian groups
Type: BOOK - Published: 1986 - Publisher: American Mathematical Soc.

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Presents a unified exposition of the main areas and methods of the theory of Kleinian groups and the theory of uniformization of manifolds. This book lists the
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
Conformal Geometry of Discrete Groups and Manifolds
Language: en
Pages: 541
Authors: Boris N. Apanasov
Categories: Mathematics
Type: BOOK - Published: 2011-06-24 - Publisher: Walter de Gruyter

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The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two de