15 citations · 28 across the 17 of their papers we have counts for
20 papers
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…
Horospherical mean curvature functions and D'Atri spaces
Gerhard Knieper, JeongHyeong Park, Norbert Peyerimhoff
We consider simply connected Riemannian manifolds without conjugate points for which the horospherical mean curvature function is continuous, reversible and invariant under the geo…
Maximal stretch and Lipschitz maps on Riemannian manifolds of negative curvature
Xian Dai, Gerhard Knieper
In his seminal work on Teichmüller spaces (\cite{Th98}), Thurston introduced the maximal stretch for a pair of hyperbolic metrics on a closed surface of genus and showed t…
A quantitative closing Lemma and Partner orbits on Riemannian manifolds with negative curvature
Michela Egidi, Gerhard Knieper
In this paper we prove a quantitative closing Lemma for manifolds of negative sectional curvature. As an application we study partner and pseudo-partner orbits for self-crossing cl…
Surfaces of section for geodesic flows of closed surfaces
Gonzalo Contreras, Gerhard Knieper, Marco Mazzucchelli +1
We prove several results concerning the existence of surfaces of section for the geodesic flows of closed orientable Riemannian surfaces. The surfaces of section that we constr…
Geodesic Anosov flows, hyperbolic closed geodesics and stable ergodicity
Gerhard Knieper, Benjamin H. Schulz
In this paper we show that the geodesic flow of a Finsler metric is Anosov if and only if there exists a open neighborhood of Finsler metrics all of whose closed geodesics ar…