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arXiv · 2503.00454

$C^0$-Contact Anosov flows

Cheikh Khoule·Matheus Manso·Ameth Ndiaye·Khadim War
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Abstract

We prove that smooth reparametrizations of the geodesic flow on a manifold of constant negative curvature are contact Anosov flows. In particular we give a new class of exponentially mixing Anosov flows. Moreover, this introduces the notion of $C^0$-contact and we prove that the classical Gray stability theorem that is known in the smooth case fails in this setting.

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Cheikh Khoule, Matheus Manso, Ameth Ndiaye, Khadim War. 2025-03-01. $C^0$-Contact Anosov flows. https://arxiv.org/abs/2503.00454

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