A symmetric 2-tensor canonically associated to \(Q\)-curvature and its applications

DOI10.2140/pjm.2017.291.425zbMath1373.53046arXiv1602.01212OpenAlexW3101171863MaRDI QIDQ2406427

Wei Yuan, Yueh-Ju Lin

Publication date: 27 September 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.01212

zbMATH Keywords

\(Q\)-curvature\(J\)-tensor\(Q\)-singular metric

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20)

Related Items (4)

On the prescribed \(Q\)-curvature problem in Riemannian manifolds ⋮ Conformally variational Riemannian invariants ⋮ The Pohozaev-Schoen identity on asymptotically Euclidean manifolds: conservation laws and their applications ⋮ Deformations of \(Q\)-curvature. II.

Cites Work

• Deformations of \(Q\)-curvature. I
• Almost-Schur lemma
• A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary)
• Deformations of the scalar curvature
• Uniqueness of the functional determinant
• A generalization of almost-Schur lemma for closed Riemannian manifolds
• UNIVERSAL PRINCIPLES FOR KAZDAN–WARNER AND POHOZAEV–SCHOEN TYPE IDENTITIES
• An almost Schur theorem on 4-dimensional manifolds
• Differential operators cononically associated to a conformal structure.

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