Download Full eBooks in PDF
Kleinian Groups And Related Topics Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Kleinian Groups And Related Topics book. This book definitely worth reading, it is an incredibly well-written.
Author : D. M. Gallo,R. M. Porter
Publisher : Unknown
Page : 132 pages
File Size : 52,6 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662206757
Author : D.M. Gallo,R.M. Porter
Publisher : Springer
Page : 126 pages
File Size : 45,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540394266
Author : Anonim
Publisher : Unknown
Page : 117 pages
File Size : 45,7 Mb
Release : 1983
Category : Electronic
ISBN : OCLC:859811704
Author : Samuil Leĭbovich Krushkalʹ,Boris Nikolaevich Apanasov,Nikolaĭ Aleksandrovich Gusevskiĭ
Publisher : American Mathematical Soc.
Page : 212 pages
File Size : 50,9 Mb
Release : 1986
Category : Kleinian groups
ISBN : 9780821845165
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 : Benson Farb
Publisher : American Mathematical Soc.
Page : 384 pages
File Size : 50,6 Mb
Release : 2006-09-12
Category : Mathematics
ISBN : 9780821838389
The appearance of mapping class groups in mathematics is ubiquitous. The book presents 23 papers containing problems about mapping class groups, the moduli space of Riemann surfaces, Teichmuller geometry, and related areas. Each paper focusses completely on open problems and directions. The problems range in scope from specific computations, to broad programs. The goal is to have a rich source of problems which have been formulated explicitly and accessibly. The book is divided into four parts. Part I contains problems on the combinatorial and (co)homological group-theoretic aspects of mapping class groups, and the way in which these relate to problems in geometry and topology. Part II concentrates on connections with classification problems in 3-manifold theory, the theory of symplectic 4-manifolds, and algebraic geometry. A wide variety of problems, from understanding billiard trajectories to the classification of Kleinian groups, can be reduced to differential and synthetic geometry problems about moduli space. Such problems and connections are discussed in Part III. Mapping class groups are related, both concretely and philosophically, to a number of other groups, such as braid groups, lattices in semisimple Lie groups, and automorphism groups of free groups. Part IV concentrates on problems surrounding these relationships. This book should be of interest to anyone studying geometry, topology, algebraic geometry or infinite groups. It is meant to provide inspiration for everyone from graduate students to senior researchers.
Author : Angel Cano,Juan Pablo Navarrete,José Seade
Publisher : Springer Science & Business Media
Page : 288 pages
File Size : 46,7 Mb
Release : 2012-11-05
Category : Mathematics
ISBN : 9783034804813
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.
Author : B. Apanasov
Publisher : Springer Science & Business Media
Page : 522 pages
File Size : 50,9 Mb
Release : 1991-06-30
Category : Mathematics
ISBN : 0792302168
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 : Irwin Kra,Bernard Maskit
Publisher : Princeton University Press
Page : 533 pages
File Size : 53,9 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400881550
A classic treatment of Riemann surfaces from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Author : Bettye Anne Case
Publisher : American Mathematical Soc.
Page : 348 pages
File Size : 54,9 Mb
Release : 1996
Category : Mathematics
ISBN : 0821804650
This 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 1994. The papers in this collection form a vibrant collage of mathematical personalities. 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. 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.
Author : Samuil Leĭbovich Krushkalʹ,Boris Nikolaevich Apanasov,Nikolaĭ Aleksandrovich Gusevskiĭ
Publisher : Unknown
Page : 128 pages
File Size : 41,6 Mb
Release : 1986
Category : Kleinian groups
ISBN : 1470444763
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, par.
Author : Ken'ichi Ōshika
Publisher : American Mathematical Soc.
Page : 136 pages
File Size : 48,6 Mb
Release : 2005
Category : Geometry, Hyperbolic
ISBN : 9780821837726
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 intends to prove that this conjecture is true for purely loxodromic Kleinian groups which are algebraic limits of geometrically finite groups.
Author : Y. Komori,V. Markovic,C. Series
Publisher : Cambridge University Press
Page : 396 pages
File Size : 55,7 Mb
Release : 2003-11-10
Category : Mathematics
ISBN : 1139437232
The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, with many old problems and conjectures close to resolution. This volume, proceedings of the Warwick workshop in September 2001, contains expositions of many of these breakthroughs including Minsky's lectures on the first half of the proof of the Ending Lamination Conjecture, the Bers Density Conjecture by Brock and Bromberg, the Tameness Conjecture by Kleineidam and Souto, the state of the art in cone manifolds by Hodgson and Kerckhoff, and the counter example to Thurston's K=2 conjecture by Epstein, Marden and Markovic. It also contains Jørgensen's famous paper 'On pairs of once punctured tori' in print for the first time. The excellent collection of papers here will appeal to graduate students, who will find much here to inspire them, and established researchers who will find this valuable as a snapshot of current research.
Author : Yair N. Minsky,Makoto Sakuma,Caroline Series
Publisher : Cambridge University Press
Page : 399 pages
File Size : 44,7 Mb
Release : 2006-06-19
Category : Mathematics
ISBN : 9781139447218
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 : Bernard Maskit
Publisher : Springer Science & Business Media
Page : 339 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642615900
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.
Author : Boris N. Apanasov
Publisher : Walter de Gruyter
Page : 541 pages
File Size : 53,8 Mb
Release : 2011-06-24
Category : Mathematics
ISBN : 9783110808056
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)