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 Constant scalar curvature on open manifolds with finite volume Commun. Korean Math. Soc. 1997 Vol. 12, No. 1, 101-108 Seongtag Kim Sung Kyun Kwan University Abstract : We let $(M,g)$ be a noncompact complete Riemannian manifold of dimension $n \ge 3$ with finite volume and positive scalar curvature. We show the existence of a conformal metric with constant positive scalar curvature on $(M,g)$ by gluing solutions of Yamabe equation on each compact subsets $K_i$ with $\cup K_i =M$. Keywords : Scalar curvature, complete manifolds, conformal metric MSC numbers : 53C21 Downloads: Full-text PDF

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