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20212026
most citedThe Hopf-Tsuji-Sullivan Dichotomy on Visibility Manifolds Without Conjugate Points

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

math.DG2026

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…

math.DG2025

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…

math.DS2024

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…

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…

math.DG2021

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…

math.DG2021

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…