Compact blow-up limits of finite time singularities of Ricci flow are shrinking Ricci solitons

DOI10.1016/j.crma.2007.09.017zbMath1147.53057OpenAlexW2065840521MaRDI QIDQ2464261

Zhei-Lei Zhang

Publication date: 12 December 2007

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.2007.09.017

zbMATH Keywords

Riemannian metricRicci solutionRicci flow equationPerelman functionals

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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Cites Work

• Unnamed Item
• Notes on Perelman's papers
• Logarithmic Sobolev inequalities and the spectrum of Schrödinger operators
• Ricci solitons on compact three-manifolds
• Three-manifolds with positive Ricci curvature
• A Compactness Property for Solutions of the Ricci Flow