Abstract
Let \(M^{n}\) be a \(n=3,4,5\) dimensional, closed Riemannian manifold of positive Yamabe invariant. For a smooth function \(K>0\) on M we consider a conformal flow, that tends to prescribe K as the scalar curvature of a conformal metric. We show global existence and if M is not conformally equivalent to the standard sphere smooth convergence and solubility of the prescribed scalar curvature problem under suitable conditions on K.
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Communicated by A. Malchiodi.
