Cotton tensor and conformal deformations of three-dimensional Ricci flow

zbMath1341.53105arXiv1401.5847MaRDI QIDQ294175

Yoshihiro Umehara

Publication date: 9 June 2016

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.5847

zbMATH Keywords

Weyl tensorconformal flatnessCotton-York tensor

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Cites Work

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• On type-I singularities in Ricci flow
• On a classification of gradient shrinking solitons
• Ricci flow of locally homogeneous geometries on closed manifolds
• Curvatures of left invariant metrics on Lie groups
• The Cotton tensor and the Ricci flow
• Three-manifolds with positive Ricci curvature
• Quasi-convergence of model geometries under the Ricci flow
• On the long-time behavior of type-III Ricci flow solutions
• Bach-flat gradient steady Ricci solitons
• Noncompact shrinking four solitons with nonnegative curvature
• The Geometries of 3-Manifolds