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.

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