15 citations · 28 across the 17 of their papers we have counts for
5 papers · 1 filter
Uniqueness of the measure of maximal entropy for geodesic flows on coarse hyperbolic manifolds without conjugate points
Gerhard Knieper
In this article we study geodesic flows on closed Riemannian manifolds without conjugate points and divergence property of geodesic rays. If the fundamental group is Gromov hyperbo…
Closed geodesics on surfaces without conjugate points
Vaughn Climenhaga, Gerhard Knieper, Khadim War
We obtain Margulis-type asymptotic estimates for the number of free homotopy classes of closed geodesics on certain manifolds without conjugate points. Our results cover all compac…
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 with Riemannian metrics without conjugate points and genus the geodesic flow on the unit tangent bundle has a unique measure o…
Minimal geodesic foliation on T^2 in case of vanishing topological entropy
Eva Glasmachers, Gerhard Knieper
On a Riemannian 2-torus we study the geodesic flow in the case of low complexity described by zero topological entropy. We show that this assumption implies a nearly inte…
Characterization of geodesic flows on T^2 with and without positive topological entropy
Eva Glasmachers, Gerhard Knieper
In the present work we consider the behavior of the geodesic flow on the unit tangent bundle of the 2-torus for an arbitrary Riemannian metric. A natural non-negative quantit…