Riemannian Manifolds with Positive Yamabe Invariant and Paneitz Operator

DOI10.1093/IMRN/RNV176zbMath1336.53050arXiv1502.01050OpenAlexW2963109917WikidataQ115273065 ScholiaQ115273065MaRDI QIDQ2800171

Yueh-Ju Lin, Matthew J. Gursky, Feng Bo Hang

Publication date: 15 April 2016

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.01050

zbMATH Keywords

conformal metricconformal Laplacian

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (14)

Some constructions of formally self-adjoint conformally covariant polydifferential operators ⋮ Q-Curvature on a Class of Manifolds with Dimension at Least 5 ⋮ Remarks on GJMS operator of order six ⋮ A note on prescribed Q-curvature ⋮ Paneitz operator for metrics near \(S^{3}\) ⋮ Compactness of conformal metrics with constant \(Q\)-curvature. I ⋮ Deformations of \(Q\)-curvature. I ⋮ Liouville type results for semilinear biharmonic problems in exterior domains ⋮ Comparison theorems for GJMS operators ⋮ On a class of non-local operators in conformal geometry ⋮ A compactness theorem for the fractional Yamabe problem. I: The nonumbilic conformal infinity ⋮ A compactness theorem on Branson's \(Q\)-curvature equation ⋮ The effect of pinching conditions in prescribing \(Q\)-curvature on standard spheres ⋮ A positive energy theorem for fourth-order gravity

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