3 papers
math.DG2026
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,\…
math.DG2026
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…
math.DG2026
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…