1 citations · 1 across the 6 of their papers we have counts for
6 papers
Gap Phenomenon for Yamabe Type Problems of
Fang Wang, Zhixin Wang
We prove that if is a Yamabe metric, then the product metric on is also a Yamabe metric whenever the flat torus is…
Rigidity of Poincaré-Einstein manifolds with flat Euclidean conformal infinity
Sanghoon Lee, Fang Wang
In this paper, we prove a rigidity theorem for Poincaré-Einstein manifolds whose conformal infinity is a flat Euclidean space. The proof relies on analyzing the propagation of curv…
Homotopical Minimal Measures for Geodesic flows on Surfaces of Higher Genus
Fang Wang, Zhihong Xia
We study the homotopical minimal measures for positive definite autonomous Lagrangian systems. Homotopical minimal measures are action-minimizers in their homotopy classes, while t…
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…
Lower Bounds for the Relative Volume of Poincare-Einstein Manifolds
Fang Wang, Huihuang Zhou
In this paper, we show that for a Poincaré-Einstein manifold with conformal infinity of nonnegative Yamabe type, the fractional Yamabe constants of…
A note on the Compactness of Poincare-Einstein manifolds
Fang Wang, Huihuang Zhou
For a conformally compact Poincaré-Einstein manifold , we consider two types of compactifications for it. One is , where is a fixed smooth defining fun…