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Introduction to Geodesic Flows

  • Gabriel P. Paternain
Chapter
Part of the Progress in Mathematics book series (PM, volume 180)

Abstract

Our aim in this chapter is to introduce the geodesic flow on the tangent bundle of a complete Riemannian manifold from several points of view. Geodesic flows have the remarkable property of being at the intersection of various branches in mathematics; this gives them a rich structure and makes them an exciting subject of research with a long tradition.

Keywords

Vector Field Symplectic Form Complete Riemannian Manifold Contact Manifold Invariant Probability Measure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Gabriel P. Paternain
    • 1
  1. 1.Centro de MatemáticaFacultad de CienciasMontevideoUruguay

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