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arXiv · 2409.03207

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

Alexander Cantoral·Sergio Romaña
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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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Alexander Cantoral, Sergio Romaña. 2024-09-05. Ruelle's inequality and Pesin's formula for Anosov geodesic flows in non-compact manifolds. https://arxiv.org/abs/2409.03207

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