Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points

Vaughn Climenhaga, Gerhard Knieper, Khadim War

We prove that for closed surfaces $M$ with Riemannian metrics without conjugate points and genus $\ge 2$ the geodesic flow on the unit tangent bundle $T^{1}M$ has a unique measure o…