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Spaces Of Kleinian Groups


Spaces Of Kleinian Groups
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Spaces Of Kleinian Groups


Spaces Of Kleinian Groups
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Author : Yair Nathan Minsky
language : en
Publisher:
Release Date : 2006

Spaces Of Kleinian Groups written by Yair Nathan Minsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Geometry, Hyperbolic categories.


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



Geometry And Dynamics Of Groups And Spaces


Geometry And Dynamics Of Groups And Spaces
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Author : Mikhail Kapranov
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-05

Geometry And Dynamics Of Groups And Spaces written by Mikhail Kapranov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-05 with Mathematics categories.


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 In addition it contains an influential, so far unpublished manuscript by Reznikov of book length.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.



Kleinian Groups


Kleinian Groups
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Author : Bernard Maskit
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Kleinian Groups written by Bernard Maskit and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The modern theory of Kleinian groups starts with the work of Lars Ahlfors and Lipman Bers; specifically with Ahlfors' finiteness theorem, and Bers' observation that their joint work on the Beltrami equation has deep implications for the theory of Kleinian groups and their deformations. From the point of view of uniformizations of Riemann surfaces, Bers' observation has the consequence that the question of understanding the different uniformizations of a finite Riemann surface poses a purely topological problem; it is independent of the conformal structure on the surface. The last two chapters here give a topological description of the set of all (geometrically finite) uniformizations of finite Riemann surfaces. We carefully skirt Ahlfors' finiteness theorem. For groups which uniformize a finite Riemann surface; that is, groups with an invariant component, one can either start with the assumption that the group is finitely generated, and then use the finiteness theorem to conclude that the group represents only finitely many finite Riemann surfaces, or, as we do here, one can start with the assumption that, in the invariant component, the group represents a finite Riemann surface, and then, using essentially topological techniques, reach the same conclusion. More recently, Bill Thurston wrought a revolution in the field by showing that one could analyze Kleinian groups using 3-dimensional hyperbolic geome try, and there is now an active school of research using these methods.



Discrete Groups In Space And Uniformization Problems


Discrete Groups In Space And Uniformization Problems
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Author : B. Apanasov
language : en
Publisher: Springer Science & Business Media
Release Date : 1991-06-30

Discrete Groups In Space And Uniformization Problems written by B. Apanasov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-06-30 with Mathematics categories.


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



Conformal Geometry Of Discrete Groups And Manifolds


Conformal Geometry Of Discrete Groups And Manifolds
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Author : Boris N. Apanasov
language : en
Publisher: Walter de Gruyter
Release Date : 2011-06-24

Conformal Geometry Of Discrete Groups And Manifolds written by Boris N. Apanasov and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-24 with Mathematics categories.


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 decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)



Analysis And Topology


Analysis And Topology
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Author : Cabiria Andreian Cazacu
language : en
Publisher: World Scientific
Release Date : 1998-11-06

Analysis And Topology written by Cabiria Andreian Cazacu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-06 with Mathematics categories.


The goal of this book is to investigate further the interdisciplinary interaction between Mathematical Analysis and Topology. It provides an attempt to study various approaches in the topological applications and influence to Function Theory, Calculus of Variations, Functional Analysis and Approximation Theory. The volume is dedicated to the memory of S Stoilow.



Topology And Teichmuller Spaces Proceedings Of The 37th Taniguchi Symposium


Topology And Teichmuller Spaces Proceedings Of The 37th Taniguchi Symposium
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Author : Sadayoshi Kojima
language : en
Publisher: World Scientific
Release Date : 1996-11-09

Topology And Teichmuller Spaces Proceedings Of The 37th Taniguchi Symposium written by Sadayoshi Kojima and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-11-09 with categories.


This proceedings is a collection of articles on Topology and Teichmüller Spaces. Special emphasis is being put on the universal Teichmüller space, the topology of moduli of algebraic curves, the space of representations of discrete groups, Kleinian groups and Dehn filling deformations, the geometry of Riemann surfaces, and some related topics.



Fundamentals Of Hyperbolic Manifolds


Fundamentals Of Hyperbolic Manifolds
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Author : R. D. Canary
language : en
Publisher: Cambridge University Press
Release Date : 2006-04-13

Fundamentals Of Hyperbolic Manifolds written by R. D. Canary and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-13 with Mathematics categories.


Presents reissued articles from two classic sources on hyperbolic manifolds. Part I is an exposition of Chapters 8 and 9 of Thurston's pioneering Princeton Notes; there is a new introduction describing recent advances, with an up-to-date bibliography, giving a contemporary context in which the work can be set. Part II expounds the theory of convex hull boundaries and their bending laminations. A new appendix describes recent work. Part III is Thurston's famous paper that presents the notion of earthquakes in hyperbolic geometry and proves the earthquake theorem. The final part introduces the theory of measures on the limit set, drawing attention to related ergodic theory and the exponent of convergence. The book will be welcomed by graduate students and professional mathematicians who want a rigorous introduction to some basic tools essential for the modern theory of hyperbolic manifolds.



A Century Of Mathematical Meetings


A Century Of Mathematical Meetings
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Author : Bettye Anne Case
language : en
Publisher: American Mathematical Soc.
Release Date : 1996

A Century Of Mathematical Meetings written by Bettye Anne Case and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.


This book features contributions by and about some of the luminaries of American mathematics. Included here are essays based on presentations made during the symposium Celebration of 100 Years of Annual Meetings, held at the AMS meeting in Cincinnati in January 1994. In addition, a number of contributions were solicited after the symposium. The papers in this collection form a vibrant collage of mathematical personalities - a collage that makes being a member of the community of mathematicians rich and rewarding.This book weaves a tapestry of mathematical life in the United States, with emphasis on the past seventy years. Photographs, old and recent, further decorate that tapestry. This volume complements three earlier AMS volumes of collected papers about mathematics in America: ""A Century of Mathematics in America"", Parts I, II, and III. There are many stories to be told about the making of mathematics and the personalities of those who meet to share it. This collection offers a celebration in words and pictures of a century of American mathematical life.



Quasiconformal Mappings Riemann Surfaces And Teichmuller Spaces


Quasiconformal Mappings Riemann Surfaces And Teichmuller Spaces
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Author : Yunping Jiang
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

Quasiconformal Mappings Riemann Surfaces And Teichmuller Spaces written by Yunping Jiang and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


This volume contains the proceedings of the AMS Special Session on Quasiconformal Mappings, Riemann Surfaces, and Teichmuller Spaces, held in honor of Clifford J. Earle, from October 2-3, 2010, in Syracuse, New York. This volume includes a wide range of papers on Teichmuller theory and related areas. It provides a broad survey of the present state of research and the applications of quasiconformal mappings, Riemann surfaces, complex dynamical systems, Teichmuller theory, and geometric function theory. The papers in this volume reflect the directions of research in different aspects of these fields and also give the reader an idea of how Teichmuller theory intersects with other areas of mathematics.