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Geodesic and Horocyclic Trajectories

Francoise Dal'Bo
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      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.
      Format: CONTRIBUTORS: Francoise Dal'Bo EAN: 9780857290724 COUNTRY: United Kingdom PAGES: WEIGHT: 610 g HEIGHT: 234 cm
      PUBLISHED BY: Springer London Ltd DATE PUBLISHED: 2010-11-25 CITY: GENRE: MATHEMATICS / Geometry / Differential, MATHEMATICS / Number Theory, MATHEMATICS / Mathematical Analysis WIDTH: 156 cm SPINE:

      Book Themes:

      Cybernetics and systems theory, Number theory, Differential and Riemannian geometry

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      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.
      Format: CONTRIBUTORS: Francoise Dal'Bo EAN: 9780857290724 COUNTRY: United Kingdom PAGES: WEIGHT: 610 g HEIGHT: 234 cm
      PUBLISHED BY: Springer London Ltd DATE PUBLISHED: 2010-11-25 CITY: GENRE: MATHEMATICS / Geometry / Differential, MATHEMATICS / Number Theory, MATHEMATICS / Mathematical Analysis WIDTH: 156 cm SPINE:

      Book Themes:

      Cybernetics and systems theory, Number theory, Differential and Riemannian geometry

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      Be the first to write a review
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