Q-Curvature on a Class of Manifolds with Dimension at Least 5

Fengbo Hang; Paul C. Yang

doi:10.1002/cpa.21623

Q-Curvature on a Class of Manifolds with Dimension at Least 5

Fengbo Hang, Paul C. Yang

Mathematics

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

40 Scopus citations

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 an extremal problem for a new functional involving the Paneitz operator.

Original language	English (US)
Pages (from-to)	1452-1491
Number of pages	40
Journal	Communications on Pure and Applied Mathematics
Volume	69
Issue number	8
DOIs	https://doi.org/10.1002/cpa.21623
State	Published - Aug 1 2016

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1002/cpa.21623

Cite this

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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 an extremal problem for a new functional involving the Paneitz operator.",

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AU - Hang, Fengbo

AU - Yang, Paul C.

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N2 - 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 an extremal problem for a new functional involving the Paneitz operator.

AB - 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 an extremal problem for a new functional involving the Paneitz operator.

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JO - Communications on Pure and Applied Mathematics

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Q-Curvature on a Class of Manifolds with Dimension at Least 5

Abstract

All Science Journal Classification (ASJC) codes

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