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Geodesic and Horocyclic Trajectories

Geodesic and Horocyclic Trajectories

Paperback

Series: Universitext

General MathematicsGeometry

ISBN10: 085729072X
ISBN13: 9780857290724
Publisher: Springer Nature
Published: Nov 25 2010
Pages: 176
Weight: 0.60
Height: 0.40 Width: 6.14 Depth: 9.21
Language: English
Geodesic and Horocyclic Trajectories presents an introduction to the topological dynamics of two classical flows associated with surfaces of curvature -1, namely the geodesic and horocycle flows. Written primarily with the idea of highlighting, in a relatively elementary framework, the existence of gateways between some mathematical fields, and the advantages of using them, historical aspects of this field are not addressed and most of the references are reserved until the end of each chapter in the Comments section. Topics within the text cover geometry, and examples, of Fuchsian groups; topological dynamics of the geodesic flow; Schottky groups; the Lorentzian point of view and Trajectories and Diophantine approximations.

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General Mathematics