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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Definitions of arithmetic Fuchsian groups 5. Home Contact Us Help Free delivery worldwide. Related resource Kafok of contents only at kwtok Although discontinuity and discreteness are equivalent in this case, this is not generally true for the case of an arbitrary group of conformal homeomorphisms acting on the full Riemann sphere as opposed to H. Fuchsian Groups by Svetlana Katok.

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Definition of a fundamental region 3. Algebraic properties of Fuchsian groups 2. Commutative Semi-group Rings Robert Gilman.

Fuchsian Groups – Svetlana Katok – Google Books

Book ratings by Goodreads. The hyperbolic metric 1. Looking for beautiful books? Structure of a Dirichlet region 3.

Fuchsian group

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. R marked it as to-read May 27, Comparison between hyperbolic, spherical and Euclidean trigonometry Exercises for Chapter 1 2. Comparison between hyperbolic, spherical and Euclidean trigonometry Exercises for Chapter 1 2. In other words, the limit set is a Cantor set. Otherwise, a Fuchsian group is said to be of the second type. To see what your friends thought of this book, please sign up.


Kleinian groups Hyperbolic geometry Riemann surfaces Discrete groups Fractals. Check out the top books of the year on our page Best Books of Plane geometry Contents Machine derived contents note: Geometrically finite Fuchsian groups 4.

A similar relation holds for the systole of the corresponding Riemann fhchsian, if the Fuchsian group is torsion-free and co-compact. Open to the fuhcsian. Paperbackpages. University of Chicago Press: 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 group can be regarded as a group acting on any of these spaces.

Cocompact Fuchsian groups 4.

Fuchsian Groups by Svetlana Katok

University of Western Australia Library. Carmen Gg marked it as to-read Jan 21, University of Sydney Library.

This single location in Queensland: This single location in Victoria: Australian National Kattok Library. This page was last edited on 6 Octoberat Arithmetic Fuchsian groups 5. Fuchsian Groups Svetlana Katok. The limit set may be empty, or may contain one or two points, or may contain an infinite number.


View online Borrow Buy Freely available Show 0 more links Dispatched from the UK in 2 business days When will my order arrive? Isometric circles and the Ford fundamental region 3. In some sense, Fuchsian groups do for non-Euclidean geometry what crystallographic groups do for Euclidean geometry. A basic example of lattices in semisimple groups, Fuchsian groups have extensive connections fuchsiian the theory of a single complex variable, number theory, algebraic and differential geometry, topology, Lie theory, jatok theory, and group theory.

Finitely generated Fuchsian groups Exercises for Chapter 4 5. Geometrically finite Fuchsian groups 4.

Refresh and try again. The type of a Fuchsian group need not be the same as its type when considered as a Kleinian group: Torsion-free Modules Eben Matlis.