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Kleinian Groups And Related Topics


Kleinian Groups And Related Topics
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Kleinian Groups And Related Topics


Kleinian Groups And Related Topics
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Author : D. M. Gallo
language : en
Publisher:
Release Date : 2014-01-15

Kleinian Groups And Related Topics written by D. M. Gallo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Kleinian Groups And Related Topics


Kleinian Groups And Related Topics
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Author : D.M. Gallo
language : en
Publisher: Springer
Release Date : 2006-11-15

Kleinian Groups And Related Topics written by D.M. Gallo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.




Kleinian Groups And Related Topics


Kleinian Groups And Related Topics
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Author :
language : en
Publisher:
Release Date : 1983

Kleinian Groups And Related Topics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.




Kleinian Groups And Uniformization In Examples And Problems


Kleinian Groups And Uniformization In Examples And Problems
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Author : Samuil Leĭbovich Krushkalʹ
language : en
Publisher: American Mathematical Soc.
Release Date : 1986

Kleinian Groups And Uniformization In Examples And Problems written by Samuil Leĭbovich Krushkalʹ 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 1986 with Mathematics categories.


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.



Problems On Mapping Class Groups And Related Topics


Problems On Mapping Class Groups And Related Topics
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Author : Benson Farb
language : en
Publisher: American Mathematical Soc.
Release Date : 2006-09-12

Problems On Mapping Class Groups And Related Topics written by Benson Farb 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 2006-09-12 with Mathematics categories.


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.



Kleinian Groups And Uniformization In Examples And Problems


Kleinian Groups And Uniformization In Examples And Problems
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Author : Samuil Leĭbovich Krushkalʹ
language : en
Publisher:
Release Date : 1986

Kleinian Groups And Uniformization In Examples And Problems written by Samuil Leĭbovich Krushkalʹ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Kleinian groups categories.


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.



Riemann Surfaces And Related Topics Am 97 Volume 97


Riemann Surfaces And Related Topics Am 97 Volume 97
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Author : Irwin Kra
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02

Riemann Surfaces And Related Topics Am 97 Volume 97 written by Irwin Kra and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.


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.



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



Spaces Of Kleinian Groups


Spaces Of Kleinian Groups
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Author : Yair N. Minsky
language : en
Publisher: Cambridge University Press
Release Date : 2006-06-19

Spaces Of Kleinian Groups written by Yair N. Minsky 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 2006-06-19 with Mathematics categories.


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.



Complex Kleinian Groups


Complex Kleinian Groups
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Author : Angel Cano
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-05

Complex Kleinian Groups written by Angel Cano 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 2012-11-05 with Mathematics categories.


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.​