Sign of Green's Function of Paneitz Operators and the Q Curvature

Fengbo Hang; Paul C. Yang

doi:10.1093/imrn/rnu247

Sign of Green's Function of Paneitz Operators and the Q Curvature

Fengbo Hang, Paul C. Yang

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	9775-9791
Number of pages	17
Journal	International Mathematics Research Notices
Volume	2015
Issue number	19
DOIs	https://doi.org/10.1093/imrn/rnu247
State	Published - 2015

ASJC Scopus subject areas

General Mathematics

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title = "Sign of Green's Function of Paneitz Operators and the Q Curvature",

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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AU - Yang, Paul C.

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AB - 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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JO - International Mathematics Research Notices

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Sign of Green's Function of Paneitz Operators and the Q Curvature

Abstract

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