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

DOI10.1016/j.jfa.2009.11.002zbMath1188.53036arXiv0812.2460OpenAlexW2006631594MaRDI QIDQ846959

Qi S. Zhang

Publication date: 16 February 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.2460

zbMATH Keywords

Ricci flowancient solutionsheat kernel bound

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (2)

Relative volume comparison of Ricci flow ⋮ Davies type estimate and the heat kernel bound under the Ricci flow

Cites Work

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• Noncompact shrinking four solitons with nonnegative curvature
• Logarithmic Sobolev Inequalities
• Estimates for the extinction time for the Ricci flow on certain 3-manifolds and a question of Perelman

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