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- W1646746846 abstract "Let (M, g) be a closed Riemannian manifold and gE the Euclidean metric. We show that for m > 1, (M x R^m, (g + gE)) is not conformal to a positive Einstein manifold. Moreover, (M x R^m, (g + gE)) is not conformal to a Riemannian manifold of positive Ricci curvature, through a smooth, radial, positive, integrable function of R^m, for m > 1. These results are motivated by some recent questions on Yamabe constants." @default.
- W1646746846 created "2016-06-24" @default.
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- W1646746846 date "2008-03-26" @default.
- W1646746846 modified "2023-09-27" @default.
- W1646746846 title "On metrics of positive Ricci curvature conformal to MxR^m" @default.
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