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

Published 5 Sep 2024 in math.DS | (2409.03207v1)

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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