$C^0$-Contact Anosov flows
Dynamical Systems
2025-03-04 v1
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 -contact and we prove that the classical Gray stability theorem that is known in the smooth case fails in this setting.
Keywords
Cite
@article{arxiv.2503.00454,
title = {$C^0$-Contact Anosov flows},
author = {Cheikh Khoule and Matheus Manso and Ameth Ndiaye and Khadim War},
journal= {arXiv preprint arXiv:2503.00454},
year = {2025}
}