Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points
Khadim War (IMPA)

We prove that for closed surfaces M with Riemannian metrics without conjugate points and genus than 2 the
geodesic flow on the unit tangent bundle has a unique measure of maximal entropy. Furthermore, this measure
is fully supported and the flow is mixing with respect to this measure. We formulate conditions under which this
result extends to higher dimensions.