Geometric Analysis and Mathematical Relativity Seminar——On the global properties of the singular Yamabe metrics
报告人：Dr. Weiming Shen (Capital Normal University)
地点：Room 1560S, Sciences Building No. 1
Abstract: A version of the singular Yamabe problem in bounded domains in Riemannian mainfolds yields
complete conformal metrics with negative constant scalar curvatures. In this talk, I will talk about some
global properties of these singular Yamabe metrics. We will first discuss whether the singular Yamabe
metrics have negative Ricci curvatures or sectional curvatures. Then, we will talk about the properties of
the first global term in the polyhomogeneous expansions for the singular Yamabe metric in dimension 2.