Extremal of log Sobolev inequality and \(W\) entropy on noncompact manifolds

DOI10.1016/j.jfa.2012.07.005zbMath1252.53046arXiv1105.1544OpenAlexW2072219202WikidataQ125902356 ScholiaQ125902356MaRDI QIDQ715623

Qi S. Zhang

Publication date: 31 October 2012

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

Full work available at URL: https://arxiv.org/abs/1105.1544

zbMATH Keywords

Ricci flowextremal function\(W\) functionallog Sobolev inequality

Mathematics Subject Classification ID

Related Items (12)

Convergence of the Ricci flow on asymptotically flat manifolds with integral curvature pinching ⋮ Local derivative estimates for the heat equation coupled to the Ricci flow ⋮ A note on convergence of noncompact nonsingular solutions of the Ricci flow ⋮ \(d_p\)-convergence and \(\epsilon\)-regularity theorems for entropy and scalar curvature lower bounds ⋮ Extremal of log-Sobolev functionals and Li-Yau estimate on \(\mathrm{RCD}^* (K,N)\) spaces ⋮ Perelman's \(\lambda \)-functional on manifolds with conical singularities ⋮ Heat kernel on Ricci shrinkers ⋮ Extremals of log Sobolev inequality on non-compact manifolds and Ricci soliton structures ⋮ Perelman entropy functional at Type I singularity on complete manifolds ⋮ Ricci flow on asymptotically Euclidean manifolds ⋮ Perelman-type no breather theorem for noncompact Ricci flows ⋮ New results about the lambda constant and ground states of the \(W\)-functional

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