19 citations · 22 across the 8 of their papers we have counts for
8 papers
On positive solutions to semi-linear conformally invariant equations on locally conformally flat manifolds
Jie Qing, David Raske
In this paper we study the existence and compactness of positive solutions to a family of conformally invariant equations on closed locally conformally flat manifolds. The family o…
Compactness for conformal metrics with Constant curvature on locally conformally flat manifolds
Jie Qing, David Raske
In this note we study the conformal metrics of constant curvature on closed locally conformally flat manifolds. We prove that for a closed locally conformally flat manifold of…
On a conformal gap and finiteness theorem for a class of four manifolds
Alice Chang, Jie Qing, Paul Yang
In this paper we develop a bubble tree structure for a degenerating class of Riemannian metrics satisfying some global conformal bounds on compact manifolds of dimension 4. Applyin…
On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds
Jie Qing, Gang Tian
In this note we study constant mean curvature surfaces in asymptotically flat 3-manifolds. We prove that, in an asymptotically flat 3-manifold with positive mass, stable spheres of…
Ricci Curvature Rigidity for Weakly Asymptotically Hyperbolic Manifolds
Vincent Bonini, Pengzi Miao, Jie Qing
A rigidity result for weakly asymptotically hyperbolic manifolds with lower bounds on Ricci curvature is proved without assuming that the manifolds are spin. The argument makes use…
On the topology of conformally compact Einstein 4-manifolds
Alice Chang, Jie Qing, Paul Yang
In this paper we study the topology of conformally compact Einstein 4-manifolds. When the conformal infinity has positive Yamabe invariant and the renormalized volume is also posit…