FUCHSIAN GROUPS KATOK PDF

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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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K38 Book; Illustrated English Show 0 more libraries Fuchsian groups of the first kind 4. Several Complex Variables R. This motivates the following definition of a Fuchsian group. Geometry of Fuchsian groups 4. Retrieved from ” https: These online bookshops told us they have this item: This book is not yet featured on Listopia. Commutative Semi-group Rings Groupw Gilman. Comparison between hyperbolic, spherical and Euclidean trigonometry Exercises for Chapter 1 2.

The hyperbolic metric 1. Stable Homotopy and Generalized Homology J. Other books in this series. This is the subgroup of PSL 2, Gropus consisting of linear fractional transformations.

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Otherwise, a Fuchsian group is said to be of the second type.

Zachery is currently reading it Mar 31, Description This introductory text provides a thoroughly modern treatment of Fuchsian groups that addresses both the classical material and recent developments in the field. Then H is a fuchsizn of the hyperbolic plane when endowed with the metric.

Return to Book Page. These 6 locations in All: The limit set of [ ] 3. By using our website you agree to our use of cookies. 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.

Fuchsian group – Wikipedia

The group PSL 2,R 2. Elementary groups Exercises for Chapter 2 3. For more information, or to order this book, please visit https: Fuchsian groups derived from quaternion algebras 5. Arithmetic Fuchsian groups 5.

Arithmetic Fuchsian groups 5. The group PSL 2, R can be regarded as a group of isometries of the hyperbolic planeor conformal transformations of the unit disc, or conformal transformations of the upper half planeso a Fuchsian yroups can be regarded as a group acting on any of these spaces.

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Fuchsian group

The Dirichlet region 3. Algebraic properties of Fuchsian groups 2.

This introductory text provides a thoroughly modern treatment of Fuchsian groups that addresses both the classical material and recent developments in the field. Structure of a Dirichlet region 3. Dispatched from the UK in 2 business days When will my order arrive? The limit set of [ ] 3.