Properties of equilibrium states for geodesic flows over manifolds without focal points
نویسندگان
چکیده
We prove that for closed rank 1 manifolds without focal points the equilibrium states are unique Hölder potentials satisfying pressure gap condition. In addition, we provide a criterion continuous potential to satisfy Moreover, derive several ergodic properties of including equidistribution and K -property.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2021
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2021.107564