Concerning a type of Sobolev inequality on the sphere

DOI10.1007/BF01444699zbMath0735.53029OpenAlexW1971822264MaRDI QIDQ811515

Shigeo Kawai

Publication date: 1992

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164941

zbMATH Keywords

conformal metricprescribed scalar curvatureSobolev inequalitybest constants

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Cites Work

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• Prescribing Gaussian curvature on S 2
• Meilleures constantes dans le théorème d'inclusion de Sobolev et un théorème de Fredholm non linéaire pour la transformation conforme de la courbure scalaire
• On the positivity of the effective action in a theory of random surfaces
• The conjectures on conformal transformations of Riemannian manifolds
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

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