Another proof of the Yamabe conjecture for locally conformally flat manifolds

DOI10.1016/0362-546X(93)90156-MzbMath0782.53027WikidataQ123361490 ScholiaQ123361490MaRDI QIDQ5288816

Abbas Bahri

Publication date: 22 August 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Yamabe conjectureconformally flat manifoldsconformal Laplacian

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Boundary value problems on manifolds (58J32)

Related Items (17)

Compactness of solutions to the Yamabe problem ⋮ Conformal scalar curvature equation on Sn: Functions with two close critical points (Twin Pseudo-Peaks) ⋮ Compactness of solutions to the Yamabe problem. III ⋮ Methods of the theory of critical points at infinity on Cauchy Riemann manifolds ⋮ Bubbling phenomena in calculus of variations ⋮ Optimal control for the conformal Laplacian obstacle problem ⋮ A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound ⋮ The scalar-curvature problem on higher-dimensional spheres ⋮ An estimate on the blowing-up solutions of a fourth-order equation ⋮ The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds ⋮ Uniformization theorems: between Yamabe and Paneitz ⋮ The {\(\beta\)}-flatness condition in CR spheres ⋮ Ricci curvature and conformality of Riemannian manifolds to spheres ⋮ Towering phenomena for the Yamabe equation on symmetric manifolds ⋮ The qc Yamabe problem on non-spherical quaternionic contact manifolds ⋮ A compactness theorem for the fractional Yamabe problem. I: The nonumbilic conformal infinity ⋮ Compactness of solutions to the Yamabe problem. II

Cites Work

• Conformal deformation of a Riemannian metric to constant scalar curvature
• Conformally flat manifolds, Kleinian groups and scalar curvature
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• Unnamed Item

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