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arXiv · 1411.3924

Sign of Green's function of Paneitz operators and the Q curvature

Fengbo Hang·Paul C. Yang
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Abstract

In a conformal class of metrics with positive Yamabe invariant, we derive a necessary and sufficient condition for the existence of metrics with positive Q curvature. The condition is conformally invariant. We also prove some inequalities between the Green's functions of the conformal Laplacian operator and the Paneitz operator.

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Fengbo Hang, Paul C. Yang. 2015-05-14. Sign of Green's function of Paneitz operators and the Q curvature. https://doi.org/10.1093/imrn%2Frnu247

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