15 citations · 28 across the 17 of their papers we have counts for
Showing 2025Show all
3 papers · 1 filter
math.DS2025
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…
math.DG2025
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…
math.DG2025
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…