W1,p-metrics and conformal metrics with Ln/2-bounded scalar curvature

DOI10.1142/S0219199721500474zbMath1506.53043arXiv1907.12464OpenAlexW3156965231MaRDI QIDQ5055693

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Publication date: 9 December 2022

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.12464

zbMATH Keywords

embeddingconformal metrics\(W^{1,p}\)-metrics

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Conformal structures on manifolds (53C18)

Related Items (1)

Ricci flow of \(W^{2, 2}\)-metrics in four dimensions

Cites Work

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• Blow-up phenomena for the Yamabe equation. II
• Compactness of conformal metrics with integral bounds on curvature
• Lack of compactness in conformal metrics with \(L^{d/2}\) curvature
• Compactness of isospectral conformal metrics on \(S^ 3\)
• \(A_{\infty}\)-weights and compactness of conformal metrics under \(L^{n/2}\) curvature bounds
• Conformal metric sequences with integral-bounded scalar curvature
• Blow-up phenomena for the Yamabe equation
• Isospectral Conformal Metrics on 3-Manifolds
• Theory of Sobolev Multipliers

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