The gradient flow of the \(L^2\) curvature functional with small initial energy

DOI10.1007/s12220-010-9211-7zbMath1262.35046OpenAlexW2467323306MaRDI QIDQ692340

Jeffrey Streets

Publication date: 5 December 2012

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-010-9211-7

zbMATH Keywords

global existencefour-manifoldconvergence to a flat metricRiemannian curvature functional

Mathematics Subject Classification ID

Related Items (7)

A Concentration-Collapse Decomposition forL²Flow Singularities ⋮ The long time behavior of fourth order curvature flows ⋮ The gradient flow of the \(L^2\) curvature energy near the round sphere ⋮ Conformal bach flow ⋮ Convergence of Riemannian 4-manifolds with \(L^2\)-curvature bounds ⋮ Collapsing in theL²Curvature Flow ⋮ On the deformation of ball packings

Cites Work

• Unnamed Item
• The Calabi flow on Kähler surfaces with bounded Sobolev constant. I
• The gradient flow of \(\int _M|Rm|^{2}\)
• Convergence of Riemannian manifolds; Ricci and \(L^{n/2}\)-curvature pinching
• On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay
• The negative gradient flow for the \(L^2\)-integral of Ricci curvature
• The Willmore flow with small initial energy.
• Removability of point singularities of Willmore surfaces
• The Willmore flow near spheres.
• Gradient flow for the Willmore functional
• Stability of the Ricci flow at Ricci-flat metrics
• Hermitian curvature flow
• Linear and dynamical stability of Ricci-flat metrics
• On the Calabi flow

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