Riemannian manifolds with positive Yamabe invariant and Paneitz operator
classification
🧮 math.DG
keywords
invariantoperatorpaneitzpositiveriemannianyamabeconformalcurvature
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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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