Mickaël Crampon
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.
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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.
Key concepts: Geodesic, Geodesic flow, Geodesic map, Flow (mathematics), Mathematics, Finsler manifold, Pure mathematics, Mathematical analysis