3 citations · 5 across the 3 of their papers we have counts for
4 papers
Analytic Liouville Integrable Geodesic Flow Has Zero Entropy
Fei Liu, Xiaokai Liu, Xiang Zhang
This paper studies the topological entropy of real-analytic Liouville integrable Hamiltonian systems. We prove that the Hamiltonian flow on a compact connected regular energy hyper…
The Hopf-Tsuji-Sullivan Dichotomy on Visibility Manifolds Without Conjugate Points
Fei Liu, Xiaokai Liu, Fang Wang
In this article, we establish the Hopf-Tsuji-Sullivan dichotomy for geodesic flows on certain manifolds with no conjugate points: either the geodesic flow is conservative and ergod…
Some Dynamical Properties on Manifolds with no Conjugate Points
Fei Liu, Xiaokai Liu, Fang Wang
In this article, we study the dynamics of geodesic flows on Riemannian (not necessarily compact) manifolds with no conjugate points. We prove the Anosov Closing Lemma, the local pr…
On the mixing and Bernoulli properties for geodesic flows on rank 1 manifolds without focal points
Fei Liu, Xiaokai Liu, Fang Wang
If is a smooth compact rank Riemannian manifold without focal points, it is shown that the measure of maximal entropy for the geodesic flow is unique. In thi…