On the \(C^0\) compactness of the set of the solutions of the Yamabe equation

DOI10.1016/J.BULSCI.2008.01.002zbMath1171.58008OpenAlexW2018213638MaRDI QIDQ1004530

Thierry Aubin

Publication date: 11 March 2009

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2008.01.002

zbMATH Keywords

Yamabe equationco-compactness of the set of solutionsHebey-Vaugon's equality

Mathematics Subject Classification ID

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

Related Items (2)

Equivariant Yamabe problem and Hebey-Vaugon conjecture ⋮ A detailed proof of a theorem of Aubin

Cites Work

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• Proof of the positive mass conjecture
• On some problems of scalar curvature
• Complete solution of the \(C^0\) compactness of the set of solutions of the Yamabe equation
• Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
• Compactness of solutions to the Yamabe problem. II
• The mass according to Arnowitt, Deser and Misner
• YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS

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