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Riemannian manifolds with positive Yamabe invariant and Paneitz operator

Published 3 Feb 2015 in math.DG | (1502.01050v3)

Abstract: For a Riemannian manifold with dimension at least six, we prove that the existence of a conformal metric with positive scalar and Q curvature is equivalent to the positivity of both the Yamabe invariant and the Paneitz operator.

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