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 reserveduntil the end of each chapter in the Comments section. Topics within the textcover geometry, and examples, of Fuchsian groups; topological dynamics of thegeodesic flow; Schottky groups; the Lorentzian point of view and Trajectoriesand Diophantine approximations." Provides a useful introduction to the topological dynamics of geodesic and horocycle flows associated with surfaces of curvature ?1 - The text is ‘punctuated’ with exercises, avoiding overwhelming proofs, which are either too detailed or too succinct - Illustrated with over 100figures INDICE: Dynamics of Fuchsian groups.- Examples of Fuchsian Groups.- Topological dynamics of the geodesic flow.- Schottky groups.- Topological dynamics.-The Lorentzian point of view.- Trajectories and Diophantine approximations.
- ISBN: 978-0-85729-072-4
- Editorial: Springer
- Encuadernacion: Rústica
- Páginas: 157
- Fecha Publicación: 05/11/2010
- Nº Volúmenes: 1
- Idioma: Inglés