On the extension of the harmonic Ricci flow

DOI10.1007/s10711-012-9767-4zbMath1270.35129OpenAlexW2049954345MaRDI QIDQ1953087

Liang Cheng, Anqiang Zhu

Publication date: 7 June 2013

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-012-9767-4

zbMATH Keywords

extension past the blow-up time

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15) Curves in Euclidean and related spaces (53A04) Continuation and prolongation of solutions to PDEs (35B60) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Blow-up in context of PDEs (35B44)

Related Items (8)

Local curvature estimates for the Ricci-harmonic flow ⋮ Basic structural equations for almost Ricci-harmonic solitons and applications ⋮ Long time existence of Ricci-harmonic flow ⋮ On the relation between Ricci-harmonic solitons and Ricci solitons ⋮ Conditions to extend the Ricci flow coupled with harmonic map flow ⋮ Local curvature estimates for the Laplacian flow ⋮ Long time existence and bounded scalar curvature in the Ricci-harmonic flow ⋮ On the extension of Ricci harmonic flow

Cites Work

• On the conditions to control curvature tensors of Ricci flow
• Evolution of an extended Ricci flow system
• Deforming the metric on complete Riemannian manifolds
• Precompactness of solutions to the Ricci flow in the absence of injectivity radius estimates
• Three-manifolds with positive Ricci curvature
• On the extension of the mean curvature flow
• Ricci flow on three-dimensional manifolds with symmetry
• Ricci flow coupled with harmonic map flow
• ON THE EXTENSION OF THE MEAN CURVATURE FLOW IN ARBITRARY CODIMENSION
• Curvature tensor under the Ricci flow
• Riemannian geometry

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