Fuchsian groups, geodesic flows on surfaces of constant negative curvature and symbolic coding of geodesics. Svetlana Katok. Dedicated to the memory of my. Fuchsian Groups by Svetlana Katok, , available at Book Depository with free delivery worldwide. Fuchsian Groups has 6 ratings and 0 reviews. This introductory text provides a thoroughly modern treatment of Fuchsian groups that addresses.
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Retrieved from ” https: Discrete and properly discontinuous groups 2. Arithmetic Fuchsian groups 5. Open to the public. A basic example of lattices in semisimple groups, Fuchsian groups have extensive connections to the theory of a single complex variable, number theory, algebraic and differential geometry, topology, Lie theory, representation theory, and group theory. The University of Queensland. That is, any one of these three can serve as a definition of a Fuchsian group, the others following as theorems.
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Fuchsian groups are used to create Fuchsian models of Riemann surfaces. James Mccarron added it Sep 01, Other books in this series. Hyperbolic area and the Gauss-Bonnet formula 1.
Want to Read saving…. Comparison between hyperbolic, spherical and Euclidean trigonometry Exercises for Chapter 1 2.
Structure of a Dirichlet region 3. Connection with Riemann surfaces and homogeneous spaces Exercises for Chapter 3 4. Fuchsian groups of the first kind 4.
Fuchsian groups fuchskan the first kind 4. Since it is nowhere dense, this implies that any limit point is arbitrarily close to an open set that is not in the limit set. A basic example of lattices in semisimple groups, Fuchsian groups have extensive connections to the theory of a single complex variable, number theory, algebraic and differential geometry, topology, Lie theory, re This introductory text provides a thoroughly modern treatment of Fuchsian groups that addresses both the classical material and recent developments in the field.
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More Concise Algebraic Topology J. In some sense, Fuchsian groups do for non-Euclidean geometry what crystallographic groups do for Euclidean geometry.
Fuchsian Groups by Svetlana Katok
Octipi marked it as to-read Apr 21, These 6 locations in All: Be the first to add this to a list. This page was last edited on 6 Octoberat Fuchsian Groups Svetlana Katok.
Olga Kravchenko rated it it was amazing Feb 27, Cocompact Fuchsian groups 4. Hyperbolic area and the Gauss-Bonnet formula 1. Commutative Semi-group Rings Kaatok Gilman.
Open to the public ; Mos Home This editionEnglish, Book, Illustrated edition: Definition of a fundamental region 3. Related resource Table of contents only at http: You also may like to try some of these bookshopswhich may or may not sell this item.
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