On the conditions to control curvature tensors of Ricci flow

DOI10.1007/s10455-010-9194-4zbMath1188.35033OpenAlexW2043264756WikidataQ124995967 ScholiaQ124995967MaRDI QIDQ963265

Liang Cheng, Li Ma

Publication date: 19 April 2010

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-010-9194-4

zbMATH Keywords

Weyl tensorRiemannian curvature tensor

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Curves in Euclidean and related spaces (53A04) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Quasilinear parabolic equations (35K59)

Related Items (14)

Global Kähler-Ricci flow on complete non-compact manifolds ⋮ On the conditions to extend Ricci Bourguignon flow ⋮ A local curvature estimate for the Ricci flow ⋮ Long time existence of Ricci-harmonic flow ⋮ The evolution of the Weyl tensor under the Ricci flow ⋮ On the extension of the harmonic Ricci flow ⋮ Remarks on the extension of the Ricci flow ⋮ Yamabe flow and Myers type theorem on complete manifolds ⋮ Long time existence and bounded scalar curvature in the Ricci-harmonic flow ⋮ On the curvature estimates for the conformal Ricci flow ⋮ Manifolds with pinched 2-positive curvature operator ⋮ Extending Yamabe flow on complete Riemannian manifolds ⋮ Mixed integral norms for Ricci flow ⋮ A local singularity analysis for the Ricci flow and its applications to Ricci flows with bounded scalar curvature

Cites Work

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• Remarks on complete non-compact gradient Ricci expanding solitons
• Nonsingular Ricci flow on a noncompact manifold in dimension three
• Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds
• A boundary of the set of the Riemannian manifolds with bounded curvatures and diameters
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• Precompactness of solutions to the Ricci flow in the absence of injectivity radius estimates
• Complete Riemannian manifolds with pointwise pinched curvature
• Three-manifolds with positive Ricci curvature
• Manifolds with positive curvature operators are space forms
• Mass under the Ricci flow
• Curvature estimates for the Ricci flow. I
• \(L^2\) forms and Ricci flow with bounded curvature on complete non-compact manifolds
• Curvature tensor under the Ricci flow
• Estimating the trace-free Ricci tensor in Ricci flow
• BOUNDING SCALAR CURVATURE AND DIAMETER ALONG THE KÄHLER RICCI FLOW (AFTER PERELMAN)
• On the Conditions to Extend Ricci Flow
• A Compactness Property for Solutions of the Ricci Flow
• Riemannian geometry

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