Hui Zhou

collaborators

3 papers

math.DG2026

Comparison Theorems for Fractional GJMS Operators

Huihuang Zhou

In this paper, we mainly focus on the fractional GJMS operators $P_{2 γ}$ which are defined on the conformal infinity of a Poincaré-Einstein manifold. We derive two comparison inequ…

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…