Nonuniqueness of Conformal Metrics With Constant Q-curvature

DOI10.1093/imrn/rnz045zbMath1478.53063arXiv1806.01373OpenAlexW2805975324MaRDI QIDQ3382659

Yannick Sire, Paolo Piccione, Renato G. Bettiol

Publication date: 21 September 2021

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

Full work available at URL: https://arxiv.org/abs/1806.01373

zbMATH Keywords

Berger metricsHopf bundleshorizontally Einstein Riemannian submersionsminimal fibersYamabe-type invariants

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Conformal structures on manifolds (53C18)

Related Items (6)

Nonuniqueness for a fully nonlinear boundary Yamabe-type problem via bifurcation theory ⋮ Complete metrics with constant fractional higher order \(Q\)-curvature on the punctured sphere ⋮ A variational analysis of the spinorial Yamabe equation on product manifolds ⋮ Multiplicity of singular solutions to the fractional Yamabe problem on spheres ⋮ Compactness of conformal metrics with constant \(Q\)-curvature. I ⋮ The effect of pinching conditions in prescribing \(Q\)-curvature on standard spheres

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