Lack of compactness in conformal metrics with \(L^{d/2}\) curvature

DOI10.1007/BF02921543zbMath0810.53027OpenAlexW1969695034MaRDI QIDQ1329630

Thomas H. Wolff, Matthew J. Gursky, Sun Yung Alice Chang

Publication date: 9 April 1995

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921543

zbMATH Keywords

compactness resultsconformal classcurvature bound

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (5)

W1,p-metrics and conformal metrics with Ln/2-bounded scalar curvature ⋮ Regularity of conformal metrics with large first eigenvalue ⋮ Bubble tree convergence for conformal metrics with \(\int_M | R |^{\frac{n}{2}}\, d V_g\) bounds ⋮ Relating notions of convergence in geometric analysis ⋮ \(A_{\infty}\)-weights and compactness of conformal metrics under \(L^{n/2}\) curvature bounds

Cites Work

• Compact isospectral sets of surfaces
• Compactness of conformal metrics with integral bounds on curvature
• Isospectral Conformal Metrics on 3-Manifolds
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