Introduction to Geodesic Flows

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


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.


Vector Field Symplectic Form Complete Riemannian Manifold Contact Manifold Invariant Probability Measure 
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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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