Global existence and convergence of solutions of the Calabi flow on Einstein 4-manifolds

DOI10.1017/S0027763000007960zbMath0989.53041MaRDI QIDQ2764675

Shu-Cheng Chang

Publication date: 14 January 2002

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

blow-upEinstein 4-manifoldsBochner formulaEinstein metricCalabi flowYamabe invariantBondi-mass type estimateelliptic Moser iteration

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)

Related Items (2)

Unnamed Item ⋮ Three-manifolds with small \(L^2\)-norm of traceless-Ricci curvature pinching

Cites Work

• Semi-global existence and convergence of solutions of the Robinson-Trautman (2-dimensional Calabi) equation
• Conformal deformation of a Riemannian metric to constant scalar curvature
• Compactness theorems of extremal-Kähler manifolds with positive first Chern class
• Critical Riemannian 4-manifolds
• Compactness of isospectral conformal metrics on \(S^ 3\)
• The Ricci flow on complete \(\mathbb{R}^ 2\)
• The conjectures on conformal transformations of Riemannian manifolds
• Some isoperimetric inequalities and eigenvalue estimates

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