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Q curvature on a class of manifolds with dimension at least 5 (1411.3926v4)
Published 14 Nov 2014 in math.DG and math.AP
Abstract: For a smooth compact Riemannian manifold with positive Yamabe invariant, positive Q curvature and dimension at least 5, we prove the existence of a conformal metric with constant Q curvature. Our approach is based on the study of extremal problem for a new functional involving the Paneitz operator.
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