On some problems of scalar curvature

DOI10.1016/j.jfa.2005.12.019zbMath1120.58016OpenAlexW2088185363MaRDI QIDQ860780

Thierry Aubin

Publication date: 9 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2005.12.019

zbMATH Keywords

Green's functionYamabe equationScalar curvatureConformal Laplacian

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (10)

The mass according to Arnowitt, Deser and Misner ⋮ Proof of the positive mass conjecture ⋮ Complete solution of the \(C^0\) compactness of the set of solutions of the Yamabe equation ⋮ Compactness of solutions to the Yamabe problem. III ⋮ The equivariant second Yamabe constant ⋮ Hebey-Vaugon conjecture. II ⋮ Blow-up phenomena for the Yamabe equation ⋮ On the \(C^0\) compactness of the set of the solutions of the Yamabe equation ⋮ Equivariant Yamabe problem and Hebey-Vaugon conjecture ⋮ A detailed proof of a theorem of Aubin

Cites Work

• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Conformal normal coordinates
• Compactness of solutions to the Yamabe problem
• Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
• The Existence of Generalized Isothermal Coordinates for Higher Dimensional Riemannian Manifolds
• YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS
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