The scalar-curvature problem on higher-dimensional spheres

DOI10.1215/S0012-7094-98-09313-9zbMath0977.53035MaRDI QIDQ1974823

Hichem Chtioui, Mohamed Ben Ayed, Mokhless Hammami

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

sphereprescribed scalar curvatureconformal Laplacianconformally equivalent

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (14)

Prescribing Morse scalar curvatures: critical points at infinity ⋮ The Webster scalar curvature problem on the three dimensional CR manifolds ⋮ Scalar curvature equation on \(S^n\). I: Topological conditions ⋮ Conformal metrics of prescribed scalar curvature on 4-manifolds: the degree zero case ⋮ Methods of the theory of critical points at infinity on Cauchy Riemann manifolds ⋮ Bahri invariants for fractional Nirenberg-type flows ⋮ A Morse lemma at infinity for Yamabe type problems on domains. ⋮ Topological invariants for the scalar curvature problem on manifolds ⋮ Prescribing Morse Scalar Curvatures: Pinching and Morse Theory ⋮ Optimal control in prescribing Webster scalar curvatures on 3-dimensional pseudo Hermitian manifolds ⋮ The {\(\beta\)}-flatness condition in CR spheres ⋮ Some existence results for a paneitz type problem via the theory of critical points at infinity ⋮ Prescribing Morse scalar curvatures: subcritical blowing-up solutions ⋮ Supported Blow-up and prescribed scalar curvature on 𝑆ⁿ

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