Fang Wang

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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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math.DG2026

Gap Phenomenon for Yamabe Type Problems of $M^{m} \times T^{n - m}$

Fang Wang, Zhixin Wang

We prove that if $(M^{m}, h)$ is a Yamabe metric, then the product metric $h + g_{flat}$ on $M^{m} \times T^{n - m}$ is also a Yamabe metric whenever the flat torus $T^{n - m}$ 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.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 $(X^{n + 1}, g_{+})$ with conformal infinity $(M, [g^])$ 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 $(X, g_{+})$ , we consider two types of compactifications for it. One is $g ˉ = ρ^{2} g_{+}$ , where $ρ$ is a fixed smooth defining fun…

Gap Phenomenon for Yamabe Type Problems of Mm×Tn−m

Rigidity of Poincaré-Einstein manifolds with flat Euclidean conformal infinity

Lower Bounds for the Relative Volume of Poincare-Einstein Manifolds

A note on the Compactness of Poincare-Einstein manifolds

Gap Phenomenon for Yamabe Type Problems of $M^{m} \times T^{n - m}$