5 edition of **Kleinian Groups (Grundlehren der mathematischen Wissenschaften)** found in the catalog.

- 271 Want to read
- 3 Currently reading

Published
**March 5, 2004** by Springer .

Written in English

- Algebraic geometry,
- Groups & group theory,
- Kleinian groups,
- Science,
- Calculus,
- Group Theory,
- History,
- Mathematics / Calculus,
- Mathematics / Group Theory,
- Mathematics-Group Theory,
- Science-History

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 326 |

ID Numbers | |

Open Library | OL9054215M |

ISBN 10 | 3540177469 |

ISBN 10 | 9783540177463 |

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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 cturer: Springer-Verlag.

About this book 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 : Springer-Verlag Berlin Heidelberg.

A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3-space, which is also regarded as a subgroup of Möbius transformations in the complex plane. The present book Kleinian Groups book a comprehensive guide to theories of Kleinian groups from the viewpoints of hyperbolic geometry and complex by: 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.

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. A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3-space, which is also regarded as a subgroup of Möbius transformations in the complex plane.

The present book is a comprehensive guide to theories of Kleinian groups from the viewpoints of hyperbolic geometry and complex analysis. COVID Resources.

Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

About this book Introduction 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.

This book celebrates the huge contribution to post-Kleinian psychoanalytic theory and clinical work made by the late Hanna Segal. An international group of influential psychoanalysts, including Heinz Weiß, John Steiner, David Bell and Claudia Frank, reflect upon some of her key ideas, and their continuing relevance to psychoanalytic thought and practice today.

Keywords: Kleinian groups, fundamental domains, modular groups Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Kleinian Groups in Higher Dimensions Michael Kapovich To the memory of Sasha Reznikov Abstract. This is a survey of higher-dimensional Kleinian groups, i.e., discrete isometry groups of the hyperbolic n-space Hn for n ≥ 4.

Our main emphasis is on the topological and geometric aspects of higher-dimensional Kleinian. Book description The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, with many old problems and conjectures close to resolution.

A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3-space, which is also regarded as a subgroup of Moebius transformations in the complex plane. The present book is a comprehensive guide to theories of Kleinian groups from the viewpoints of hyperbolic geometry and complex analysis.

↑ kleinian, a tool for visualizing Kleinian groups Posted on March 4, by Danny Calegari ↑ kleinian by D Wright ↑ FRactal forum: Kleinian groups - an immense collection with sources. ↑ Programs by Curtis McMullen ↑ Kleinian and Quasi-Fuchsian Limit Sets:.

In mathematics, a Kleinian group is a discrete subgroup of PSL(2, C). The group PSL(2, C) of 2 by 2 complex matrices of determinant 1 modulo its center has several natural representations: as conformal transformations of the Riemann sphere, and as orientation-preserving isometries of 3-dimensional hyperbolic space H3.

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 Author: Angel Cano.

Kleinian groups are, classically, discrete groups of conformal automorphisms of the Riemann sphere, and these can themselves be regarded as groups of holomorphic automorphisms of the complex projective line CP 1. When we go into higher dimensions, there is a dichotomy: Should we look at conformal automorphisms of the n-sphere.

or should we look. Book description The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, the last few years having seen the resolution of.

Definitions are reproduced from The New Dictionary of Kleinian Thought by Elizabeth Bott Spillius, Jane Milton, Penelope Garvey, Cyril Couve and Deborah Steiner (Routledge, ). The images below are of drawings, paintings and paper cut-outs created by Klein’s child patients during analysis with her.

Julie Green: Kleinian Reading Groups. Julie Green conducts two reading groups focused on Kleinian psychoanalytic theory and practice: The first group meets on the first Thursday of the month from – The first hour is for a discussion of a theory paper and the second hour for a clinical presentation by one of the group members.

Kleinian group fractals have been popularized by the book "Indra's Pearls" by David Mumford, Caroline Series and David Wright. The key to fractals of this type is an understanding of Möbius transformations. Indra's Pearls: An Atlas of Kleinian Groups.

Abstract. In this extraordinary book they explore the path from some basic mathematical ideas to the simple algorithms that create delicate fractal filigrees, most appearing in print for the first time.

The Geometry and Arithmetic of Kleinian Groups 5 criteria which determine when a two-generator group is arithmetic. It turns out that nearly all the extremal problems one might formulate are realised by arithmetic groups, perhaps the number theory forcing additional symmetries in a group and therefore making it \smaller" or \tighter".

Indeed we. The basic theory of Kleinian groups was laid down in the fundamental papers of H. Poincaré and F. Klein in the 19th century; the name "Kleinian group" goes back to Poincaré.

The limit set is either empty, consists of one or two points, or is infinite. The first two cases correspond to the elementary groups (in particular, all cyclic groups). A Kleinian group is a discrete group of isometries of hyperbolic 3-space H3. Any hyperbolic 3-manifold is the quotient of H3 by a Kleinian group.

In the s, the school of Ahlfors and Bers studied Kleinian groups mainly analytically, in terms of their action on the Riemann sphere. Thurston revolutionised the subject in the sCited by: 8.

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.

Algebraic limits of Kleinian groups One may obtain a manifold which is homotopy equivalent to M k, but is not homeomorphic to M k, by simply rearranging the pages. The main focus throughout the text is on the "Big Monster," i.e., on Thurstons 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.

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 Show synopsis 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, Poincare, Picard and many others.

Contributions to Analysis: A Collection of Papers Dedicated to Lipman Bers is a compendium of papers provided by Bers, friends, students, colleagues, and professors.

These papers deal with Teichmuller spaces, Kleinian groups, theta functions, algebraic geometry. Abstract. We give the first part of a proof of Thurston’s Ending Lamination conjecture. In this part we show how to construct from the end invariants of a Kleinian surface group a “Lipschitz model” for the thick part of the corresponding hyperbolic by: Buy Kleinian Theory: A Contemporary Perspective by Bronstein, Catalina (ISBN: ) from Amazon's Book Store.

Everyday low prices and free delivery on eligible orders.5/5(4). Commensurability classes of Kleinian groups of finite co-volume are discussed in [2] and it is shown there that the arithmetic groups can be characterized as those having dense commensurability.

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. Pages from Volume (), Issue 1 by Jeffrey F.

Brock, Richard D. Canary, Yair N. MinskyCited by: Complex Kleinian Groups (progress In Mathematics) as for instance classical Kleinian group actions, complex hyperbolic geometry, chrystallographic groups and the uniformization problem for complex manifolds.

a newly born area of mathematics whose origin traces back to the work of Riemann, Poincaré, Picard and many others. Kleinian. Introduction to Kleinian Groups Talk by Yair Minsky Aug Basics of Hyperbolic Geometry-Hyperbolic 3-space, H3, may be identi ed with the upper half space f(z;t) jz2C;t>0g equipped with the metric dz2 + dt2 t2 The isometry group of hyperbolic space Isom(H3) can be identi ed with the group of Mobius transformations, and the group of orientation preserving isometries Isom+(H3) canFile Size: KB.

The high point of the book is the formulation of a Kleinian group psychology which contrasts the intimacy of private relations with the aggressive-manipulative quality of group life, in a manner reminiscent of Niebuhr’s Moral Man and Immoral Society.

An Introduction to the Theory of Groups: Edition 4 - Ebook written by Joseph J. Rotman. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read An Introduction to the Theory of Groups 5/5(1).

CHAPTER 2: HYPERBOLIC GEOMETRY DANNYCALEGARI Abstract. ThesearenotesonKleiniangroups,whicharebeingtransformedintoChap-ter 2 of a book on 3-Manifolds.

The ebook uniformization moduli and kleinian groups tends long bound. book:: Woodward, Jeannette A. Yazar:: Kane, Laura Townsend.

Your way escaped an Acute group. The table is nearly been. for a training for audit quote/5.A Kleinian group acts conformally on S2 and discontinuously on H3 by isometries.

In this paper, we always assume that Kleinian groups are torsion free. For a torsion-free Kleinian group Γ, the quotient H3/Γ is a complete hyperbolic 3–manifold.

Geometry & Topology Monographs,Volume1().A Kleinian group is a discrete subgroup of PSL 2(C). Examples include 2(Z), Apollonian group, whose limit set is shown here: Bianchi groups PSL 2(O K) where O K is the ring of integers of an imaginary quadratic eld K.

There are arithmetic invariants associated to a Kleinian group, speci cally, the invariant.