C⁰-Contact Anosov flows

Key Points

• Smooth reparametrizations of geodesic flow are shown to be contact Anosov flows, expanding the understanding of dynamical systems.
• The introduction of the $C^0$-contact notion leads to a class of exponentially mixing Anosov flows, highlighting its importance.
• The classical Gray stability theorem fails in this $C^0$-contact context, indicating significant differences from the smooth case.
• This work opens up new avenues for studying the stability of contact Anosov flows in various manifold settings.