书目名称 | Geodesic and Horocyclic Trajectories |
编辑 | Françoise Dal’Bo |
视频video | |
概述 | 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 proof |
丛书名称 | Universitext |
图书封面 |  |
描述 | 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. |
出版日期 | Textbook 2011 |
关键词 | Fuchsian group; Poincaré half plane; Schottky group; Topological dynamics; continued fraction; diophantin |
版次 | 1 |
doi | https://doi.org/10.1007/978-0-85729-073-1 |
isbn_softcover | 978-0-85729-072-4 |
isbn_ebook | 978-0-85729-073-1Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
issn_series | 0172-5939 |
copyright | Springer-Verlag London Limited 2011 |