The geodesic flow of Finsler and Hilbert geometries

  • Mickaël Crampon

    Universidad de Santiago de Chile, Chile
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Abstract

This is a survey of the dynamics of the geodesic flow of Hilbert geometries. The main idea is to compare this flow with the geodesic flow of negatively curved Finsler or Riemannian manifolds, by making links between various useful objects and by comparing results and questions.