The negative gradient flow for the \(L^2\)-integral of Ricci curvature

DOI10.1007/S00229-003-0363-7zbMath1054.53080OpenAlexW1980315205MaRDI QIDQ1401485

Zheng Yu

Publication date: 17 August 2003

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-003-0363-7

zbMATH Keywords

flat metricshort time existencetime intervalnegative gradient flow

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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A Concentration-Collapse Decomposition forL²Flow Singularities ⋮ The gradient flow of the \(L^2\) curvature functional with small initial energy ⋮ Collapsing in theL²Curvature Flow

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