A uniform Sobolev inequality for Ricci flow with surgeries and applications

DOI10.1016/J.CRMA.2008.03.016zbMath1138.53058OpenAlexW2084252294WikidataQ124856660 ScholiaQ124856660MaRDI QIDQ927113

Qi S. Zhang

Publication date: 22 May 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2008.03.016

zbMATH Keywords

surgerygeometrization conjecturesuniform Sobolev inequality

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (1)

Heat kernel bounds, ancient \(\kappa \) solutions and the Poincaré conjecture

Cites Work

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• A complete proof of the Poincaré and geometrization conjectures -- application of the Hamilton-Perelman theory of the Ricci flow
• Strong noncollapsing and uniform Sobolev inequalities for Ricci flow with surgeries
• Notes on Perelman's papers
• Problèmes isoperimetriques et espaces de Sobolev
• The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds
• Best constants in the Sobolev imbedding theorem
• Optimal Sobolev Inequalities on Complete Riemannian Manifolds with Ricci Curvature Bounded Below and Positive Injectivity Radius
• Addendum to: A Uniform Sobolev Inequality under Ricci Flow

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