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Are there compact Riemannian manifolds whith Q-curvature negative?
Are there known examples of compact Riemannian manifolds with Q-curvature negative?
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Paneitz-Branson operator and Q-curvature
Let $(M,g)$ a n-dimensional Riemannian manifold, $n\neq 4$, and $h=u^{\frac{4}{n-4}}g$. Then the formula that connect the Panitz-Branson opertator $P_g$ and the Q-curvature $Q_{h}$ is
$Q_h=\frac{2}{ …