Transformation conforme de la courbure scalaire sur une variété Riemannienne compacte. (Conformal transformation of the scalar curvature on a compact Riemannian manifold)

DOI10.1016/0022-1236(87)90022-XzbMath0608.53041MaRDI QIDQ1085813

B. George

Publication date: 1987

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

zbMATH Keywords

scalar curvatureYamabe problemconformal invariant

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items

The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds, Best constants in the Sobolev imbedding theorem, NODAL SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS ON COMPACT RIEMANNIAN MANIFOLDS, Scalar curvature and conformal geometry, Nodal solutions on Riemannian manifolds, Influence of the mass on nodal solutions of nonlinear PDEs, Nonlinear PDE with vector fields, Remarque sur le problème de Yamabe. (Remark on the problem of Yamabe)

Cites Work

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• Conformal deformation of a Riemannian metric to constant scalar curvature
• Conformal metrics with prescribed scalar curvature
• Scalar curvature and conformal deformation of Riemannian structure
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Meilleures constantes dans le théorème d'inclusion de Sobolev et un théorème de Fredholm non linéaire pour la transformation conforme de la courbure scalaire