arXiv:1912.07825 Abstract | arXiv Analytics

arXiv:1912.07825 [math.DS]Abstract References Reviews Resources

Properties of equilibrium states for geodesic flows over manifolds without focal points

Published 2019-12-17Version 1

We prove that for closed rank 1 manifolds without focal points the equilibrium states are unique for H\"older potentials satisfying the pressure gap condition. In addition, we provide a criterion for a continuous potential to satisfy the pressure gap condition. Moreover, we derive several ergodic properties of the unique equilibrium states including the equidistribution and the K-property.

Comments: Comments are welcome

Categories: math.DS

Keywords: focal points, geodesic flows, pressure gap condition, unique equilibrium states, ergodic properties

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