Dong Chen

collaborators

2 papers

math.DS2019

Properties of equilibrium states for geodesic flows over manifolds without focal points

Dong Chen, Lien-Yung Kao, Kiho Park

We prove that for closed rank 1 manifolds without focal points the equilibrium states are unique for Hölder potentials satisfying the pressure gap condition. In addition, we provid…

math.DS2019

On the $C^{\infty}$ closing lemma for Hamiltonian flows on symplectic $4$ -manifolds

Dong Chen

The main result in this paper is the $C^{\infty}$ closing lemma for a large family of Hamiltonian flows on $4$ -dimensional symplectic manifolds, which includes classical Hamiltonia…

Properties of equilibrium states for geodesic flows over manifolds without focal points

On the C∞ closing lemma for Hamiltonian flows on symplectic 4-manifolds

On the $C^{\infty}$ closing lemma for Hamiltonian flows on symplectic $4$ -manifolds