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math.DS2024
On the Myrberg Limit Sets and Bowen-Margulis-Sullivan Measures for Visibility Manifolds without Conjugate Points
Fei Liu
In this paper, we clarify the strong relationship between Myrberg type dynamics and the ergodic properties of the geodesic flows on (not necessarily compact) uniform visibility man…
math.DS2023★ 1 cited
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…