This study proves that smooth reparametrizations of geodesic flow are contact Anosov flows, suggesting new exponential mixing types.
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 C⁰-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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Khoule et al. (2025) studied this question.
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