Prescribed scalar curvature on compact Riemannian manifolds in the negative case

DOI10.1006/jfan.1996.3028zbMath0870.53034OpenAlexW1990612452MaRDI QIDQ5961819

Thierry Aubin, Sophie Bismuth

Publication date: 21 April 1997

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3028

zbMATH Keywords

negative scalar curvatureprescribing scalar curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

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Combining Solutions of Semilinear Partial Differential Equations in ℝⁿwith Critical Sobolev Exponent ⋮ Problème de la courbure scalaire prescrite sur les variétés riemanniennes complètes. (The problem of prescribed scalar curvature for complete Riemannian manifolds) ⋮ Existence results for the Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds ⋮ Prescribing Gaussian curvature on closed Riemann surface with conical singularity in the negative case ⋮ Large conformal metrics with prescribed sign-changing Gauss curvature ⋮ Second-order elliptic equation with singularities ⋮ Large conformal metrics with prescribed scalar curvature ⋮ Prescribed mean curvature equation on the unit ball in the presence of reflection or rotation symmetry ⋮ Prescribed scalar curvature on a \(C^\infty\) compact Riemannian manifold of dimension two

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