On shrinking gradient Ricci solitons with positive Ricci curvature and small Weyl tensor

DOI10.1007/s10473-019-0503-0zbMath1499.53209OpenAlexW2961779833MaRDI QIDQ2150985

Chih-Wei Chen, Zhuhong Zhang

Publication date: 30 June 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-019-0503-0

zbMATH Keywords

positive Ricci curvatureshrinking gradient Ricci solitonspinched Weyl tensor

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Rigidity results (53C24) Flows related to mean curvature (53E10)

Cites Work

• Curvature pinching estimate and singularities of the Ricci flow
• On the classification of gradient Ricci solitons
• On a classification of gradient shrinking solitons
• Ricci solitons: The equation point of view
• Ricci deformation of the metric on a Riemannian manifold
• Ricci solitons on compact three-manifolds
• Complete gradient shrinking Ricci solitons with pinched curvature
• On gradient Ricci solitons
• Gradient shrinking solitons with vanishing Weyl tensor
• On four-dimensional anti-self-dual gradient Ricci solitons
• Estimating the trace-free Ricci tensor in Ricci flow
• Recent Progress on Ricci Solitons
• Geometry of Complete Gradient Shrinking Ricci Solitons
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