Gerhard Knieper

activity

20242026

collaborators

4 papers

math.DG2026

Maximal stretch and Lipschitz maps on Riemannian manifolds of negative curvature

Xian Dai, Gerhard Knieper

In his seminal work on TeichmÃ¼ller spaces (\cite{Th98}), Thurston introduced the maximal stretch for a pair of hyperbolic metrics on a closed surface of genus $\geq 2$ and showed…

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.DG2024

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 $I^£$ that we const…