Estimating the trace-free Ricci tensor in Ricci flow

DOI10.1090/S0002-9939-09-09940-7zbMath1172.53043arXiv0711.1153MaRDI QIDQ3395583

Dan Knopf

Publication date: 11 September 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.1153

zbMATH Keywords

curvature tensor

Mathematics Subject Classification ID

Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items

Pinching estimates for solutions of the linearized Ricci flow system in higher dimensions ⋮ A local curvature estimate for the Ricci flow ⋮ On shrinking gradient Ricci solitons with positive Ricci curvature and small Weyl tensor ⋮ Renormalization group and the Ricci flow ⋮ Simplicial Ricci flow ⋮ A note on Ricci flow with Ricci curvature bounded below ⋮ On the conditions to control curvature tensors of Ricci flow ⋮ A local singularity analysis for the Ricci flow and its applications to Ricci flows with bounded scalar curvature ⋮ Scalar curvature behavior of homogeneous Ricci flows

Cites Work

• Unnamed Item
• Precise asymptotics of the Ricci flow neckpinch
• Ricci solitons on compact three-manifolds
• Numerical characterization of the Kähler cone of a compact Kähler manifold
• Deformation of \(C^0\) Riemannian metrics in the direction of their Ricci curvature
• Three-manifolds with positive Ricci curvature
• On the Kähler-Ricci flow on projective manifolds of general type
• Nonnegatively curved manifolds with finite fundamental groups admit metrics with positive Ricci curvature
• Curvature tensor under the Ricci flow
• On the Conditions to Extend Ricci Flow
• POSITIVITY OF RICCI CURVATURE UNDER THE KÄHLER–RICCI FLOW