Remarque sur le problème de Yamabe. (Remark on the problem of Yamabe)

DOI10.1016/0022-1236(91)90071-CzbMath0734.58044MaRDI QIDQ810977

Michel Vaugon, Emmanuel Hebey

Publication date: 1991

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

zbMATH Keywords

conformal metricsYamabe problem

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (5)

About the mass of certain second order elliptic operators ⋮ Proof of the positive mass conjecture ⋮ Positive solutions of Ambrosetti-Prodi problems involving the critical Sobolev exponent ⋮ Scalar curvature and conformal geometry ⋮ Influence of the mass on nodal solutions of nonlinear PDEs

Cites Work

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

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