10 citations · 33 across the 16 of their papers we have counts for
19 papers
Optimal geometric inequalities and fully nonlinear conformal flows
Yuxin Ge, Guofang Wang, Wei Wei
We establish sharp Sobolev-type geometric inequalities on involving the total -curvatures . These results extend the optimal in…
The -Yamabe problem revisited
Yuxin Ge, Guofang Wang, Wei Wei
In this paper we revisit the -Yamabe problem on , namely, finding a conformal metric with constant -scalar curvature. We prove that on a closed manifold $\left(M,\le…
A Yamabe problem for the quotient between the curvature and the scalar curvature
Yuxin Ge, Guofang Wang, Wei Wei
In this paper we introduce the following Yamabe problem for the quotient between the curvature and the scalar curvature : Find a conformal metric in a given conformal cl…
On compactness conformally compact Einstein manifolds and uniqueness of Graham-Lee metrics, III
Sun-Yung A. Chang, Yuxin Ge, Xiaoshang Jin +1
In this paper, we establish a compactness result for a class of conformally compact Einstein metrics defined on manifolds of dimension . As an application, we derive the gl…
Compactness of conformally compact Einstein 4-manifolds II
Sun-Yung A. Chang, Yuxin Ge, Jie Qing
In this paper, we establish compactness results of some class of conformally compact Einstein 4-manifolds. In the first part of the paper, we improve the earlier results obtained b…
Compactness of conformally compact Einstein manifolds in dimension 4
Sun-Yung A. Chang, Yuxin Ge
In this paper, we establish some compactness results of conformally compact Einstein metrics on -dimensional manifolds. Our results were proved under assumptions on the behavior…