Author: Yair Nathan Minsky
Publisher:
ISBN: 9781139111935
Category : Geometry, Hyperbolic
Languages : en
Pages : 390

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Book Description
Important and original research in the fast-developing subject of Kleinian groups and hyperbolic 3-manifolds.

Author: Yair N. Minsky
Publisher: Cambridge University Press
ISBN: 1139447211
Category : Mathematics
Languages : en
Pages : 399

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Book Description
The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development. This volume contains important expositions on topics such as topology and geometry of 3-manifolds, curve complexes, classical Ahlfors-Bers theory and computer explorations. Researchers in these and related areas will find much of interest here.

Author: Walter Lawrence Lok
Publisher:
ISBN:
Category : Homogeneous spaces
Languages : en
Pages : 198

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Book Description

Author: John H. Holt
Publisher:
ISBN:
Category :
Languages : en
Pages : 154

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Book Description

Author: Samuil Leĭbovich Krushkalʹ
Publisher: American Mathematical Soc.
ISBN: 0821845160
Category : Kleinian groups
Languages : en
Pages : 212

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Book Description
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 basic facts regarding Kleinian groups and serves as a general guide to the primary literature, particularly the Russian literature in the field.

Author: L. Bers
Publisher: Springer
ISBN: 354037776X
Category : Mathematics
Languages : en
Pages : 140

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Book Description

Author: Samuil Le_bovich Krushkal_
Publisher: American Mathematical Soc.
ISBN: 9780821898123
Category : Mathematics
Languages : en
Pages : 214

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Book Description
Aimed at researchers, graduate students and undergraduates alike, this book presents a unified exposition of all the main areas and methods of the theory of Kleinian groups and the theory of uniformization of manifolds. The past 20 years have seen a rejuvenation of the field, due to the development of powerful new methods in topology, the theory of functions of several complex variables, and the theory of quasiconformal mappings. Thus this new book should provide a valuable resource, listing the basic facts regarding Kleinian groups and serving as a general guide to the primary literature, particularly the Russian literature in the field. In addition, the book includes a large number of examples, problems, and unsolved problems, many of them presented for the first time.

Author: B. Apanasov
Publisher: Springer Science & Business Media
ISBN: 9780792302162
Category : Mathematics
Languages : en
Pages : 522

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Book Description
A revised and substantially enlarged edition of the Russian book Discrete transformation groups and manifold structures published by Nauka in 1983, this volume presents a comprehensive treatment of the geometric theory of discrete groups and the associated tessellations of the underlying space. Also dealt with in depth are geometric and conformal structures on manifolds, with particular emphasis on hyperbolic n-dimensional manifolds. A detailed account of the geometric and analytic properties of geometrically-finite Mobius groups in n-dimensional space is given and this forms the basis of the subsequent analysis. Emphasis is placed on the geometrical aspects and on the universal constraints which must be satisfied by all tessellations and structures on manifolds. Annotation copyrighted by Book News, Inc., Portland, OR

Author: Mikhail Kapranov
Publisher: Springer Science & Business Media
ISBN: 9783764386085
Category : Mathematics
Languages : en
Pages : 742

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Book Description
Alexander Reznikov (1960-2003) was a brilliant and highly original mathematician. This book presents 18 articles by prominent mathematicians and is dedicated to his memory. In addition it contains an influential, so far unpublished manuscript by Reznikov of book length. The book further provides an extensive survey on Kleinian groups in higher dimensions and some articles centering on Reznikov as a person.

Author: Angel Cano
Publisher: Springer Science & Business Media
ISBN: 3034804814
Category : Mathematics
Languages : en
Pages : 288

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Book Description
This monograph lays down the foundations of the theory of complex Kleinian groups, a newly born area of mathematics whose origin traces back to the work of Riemann, Poincaré, Picard and many others. Kleinian groups are, classically, discrete groups of conformal automorphisms of the Riemann sphere, and these can be regarded too as being groups of holomorphic automorphisms of the complex projective line CP1. When going into higher dimensions, there is a dichotomy: Should we look at conformal automorphisms of the n-sphere?, or should we look at holomorphic automorphisms of higher dimensional complex projective spaces? These two theories are different in higher dimensions. In the first case we are talking about groups of isometries of real hyperbolic spaces, an area of mathematics with a long-standing tradition. In the second case we are talking about an area of mathematics that still is in its childhood, and this is the focus of study in this monograph. This brings together several important areas of mathematics, as for instance classical Kleinian group actions, complex hyperbolic geometry, chrystallographic groups and the uniformization problem for complex manifolds.​