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arXiv · 1411.3926

Q curvature on a class of manifolds with dimension at least 5

Fengbo Hang·Paul C. Yang
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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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Fengbo Hang, Paul C. Yang. 2014-11-14. Q curvature on a class of manifolds with dimension at least 5. https://arxiv.org/abs/1411.3926

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