Ruelle's inequality and Pesin's formula for Anosov geodesic flows in non-compact manifolds

2024/09/05 by Cantoral, Alexander, Romaña, Sergio · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2409.03207

Abstract

In this paper, we prove Ruelle's inequality for the geodesic flow in non-compact manifolds with Anosov geodesic flow and some assumptions on the curvature. In the same way, we obtain Pesin's formula for Anosov geodesic flow in non-compact manifolds with finite volume.

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