Un théorème de la masse positive pour le problème de Yamabe en dimension paire

DOI10.1515/CRELLE.2011.005zbMath1216.53042arXiv0807.3179OpenAlexW2963634661MaRDI QIDQ3081159

Pierre Jammes

Publication date: 11 March 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.3179

zbMATH Keywords

Yamabe problemconformal Laplacianscalar curvatures

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)

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The Sobolev inequality and the asymptotoc volume ⋮ Universal positive mass theorems

Cites Work

• Conformally flat manifolds, Kleinian groups and scalar curvature
• Les variétés de dimension 4 à signature non nulle dont la courbure est harmonique sont d'Einstein
• Proof of the positive mass theorem. II
• On the proof of the positive mass conjecture in general relativity
• A new proof of the positive energy theorem.
• Positive mass theorem for the Yamabe problem on spin manifolds
• The mass of an asymptotically flat manifold
• The Yamabe problem

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