Hyperbolic Manifolds and Discrete Groups

Author: Michael Kapovich,Mikhail Kapocivh

Publisher: Springer Science & Business Media

ISBN: 9780817639044

Category: Mathematics

Page: 467

View: 3937

Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout the text is on the "Big Monster," i.e., on Thurston’s hyperbolization theorem, which has not only completely changes the landscape of 3-dimensinal topology and Kleinian group theory but is one of the central results of 3-dimensional topology. The book is fairly self-contained, replete with beautiful illustrations, a rich set of examples of key concepts, numerous exercises, and an extensive bibliography and index. It should serve as an ideal graduate course/seminar text or as a comprehensive reference.
Posted in Mathematics

Hyperbolic Manifolds

An Introduction in 2 and 3 Dimensions

Author: Albert Marden

Publisher: Cambridge University Press

ISBN: 1316432521

Category: Mathematics

Page: N.A

View: 4399

Over the past three decades there has been a total revolution in the classic branch of mathematics called 3-dimensional topology, namely the discovery that most solid 3-dimensional shapes are hyperbolic 3-manifolds. This book introduces and explains hyperbolic geometry and hyperbolic 3- and 2-dimensional manifolds in the first two chapters and then goes on to develop the subject. The author discusses the profound discoveries of the astonishing features of these 3-manifolds, helping the reader to understand them without going into long, detailed formal proofs. The book is heavily illustrated with pictures, mostly in color, that help explain the manifold properties described in the text. Each chapter ends with a set of exercises and explorations that both challenge the reader to prove assertions made in the text, and suggest further topics to explore that bring additional insight. There is an extensive index and bibliography.
Posted in Mathematics

Geometry, Spectral Theory, Groups, and Dynamics

Proceedings in Memory of Robert Brooks, December 29, 2003-January 2, 2004 [and] January 5-9, 2004, Technion-Israel Institute of Technology, Haifa, Israel

Author: Robert Brooks,Michael Entov,Yehuda Pinchover,Michah Sageev

Publisher: American Mathematical Soc.

ISBN: 0821837109

Category: Mathematics

Page: 275

View: 8878

This volume contains articles based on talks given at the Robert Brooks Memorial Conference on Geometry and Spectral Theory and the Workshop on Groups, Geometry and Dynamics held at Technion - the Israel Institute of Technology (Haifa). Robert Brooks' (1952-2002) broad range of mathematical interests is represented in the volume, which is devoted to various aspects of global analysis, spectral theory, the theory of Riemann surfaces, Riemannian and discrete geometry, and number theory. A survey of Brooks' work has been written by his close colleague, Peter Buser. Also included in the volume are articles on analytic topics, such as Szegos theorem, and on geometric topics, such as isoperimetric inequalities and symmetries of manifolds. The book is suitable for graduate students and researchers interested in various aspects of geometry and global analysis.
Posted in Mathematics

Geometry, Topology, and Dynamics in Negative Curvature

Author: C. S. Aravinda,F. T. Farrell,J.-F. Lafont

Publisher: Cambridge University Press

ISBN: 110752900X

Category: Mathematics

Page: 358

View: 2618

Ten high-quality survey articles provide an overview of important recent developments in the mathematics surrounding negative curvature.
Posted in Mathematics

Essays on geometry and related topics

mémoires dédiés à André Haefliger

Author: Étienne Ghys,André Haefliger

Publisher: N.A

ISBN: 9782940264032

Category: Geometry

Page: 610

View: 514

Posted in Geometry

Current Developments in Mathematics

Author: David Jerison,George Lustig,Barry Mazur

Publisher: N.A

ISBN: 9781571461025

Category: Mathematics

Page: 289

View: 362

Posted in Mathematics

Geometry & Topology

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Geometry

Page: N.A

View: 8825

Fully refereed international journal dealing with all aspects of geometry and topology and their applications.
Posted in Geometry

Conformal Geometry of Discrete Groups and Manifolds

Author: Boris N. Apanasov

Publisher: Walter de Gruyter

ISBN: 3110808056

Category: Mathematics

Page: 531

View: 5792

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics 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 wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
Posted in Mathematics

Geometry and Dynamics of Groups and Spaces

In Memory of Alexander Reznikov

Author: Mikhail Kapranov,Sergii Kolyada,Yu. I. Manin,Pieter Moree,Leonid Potyagailo

Publisher: Springer Science & Business Media

ISBN: 9783764386085

Category: Mathematics

Page: 742

View: 3007

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.
Posted in Mathematics

Bonner mathematische Schriften

Author: Gero Kleineidam

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 47

View: 904

Posted in Mathematics

Discrete Groups in Geometry and Analysis

Papers in Honor of G.D. Mostow on His Sixtieth Birthday

Author: Howe

Publisher: Springer Science & Business Media

ISBN: 1489966641

Category: Juvenile Nonfiction

Page: 212

View: 5309

Posted in Juvenile Nonfiction