Mañé’s Formula for Geodesic Flows and Convex Billiards

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


In this chapter we present a proof of Mañé’s formula for geodesic flows and convex billiards. The proof rests on the twist property of the vertical subbundle that we described in Chapter 2, Pesin’s theory which enters via Przytycki’s inequality and a very clever change of variables which is useful also in other situations (cf. Proposition 4.8).


Topological Entropy Conjugate Point Geodesic Flow Positive Lebesgue Measure Lagrangian Subspace 
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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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