Fang Wang

activity

20212026

collaborators

3 papers

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

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

A note on the Compactness of Poincare-Einstein manifolds

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