Rigidity of four-dimensional gradient shrinking Ricci solitons

DOI10.1515/crelle-2023-0042zbMath1528.53046arXiv2105.10744MaRDI QIDQ6137562

Detang Zhou, Xu Cheng

Publication date: 4 September 2023

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.10744

zbMATH Keywords

rigiditygradient shrinking Ricci solitons

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20)

Related Items (1)

Four-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature

Cites Work

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• The Weyl tensor of gradient Ricci solitons
• Integral pinched shrinking Ricci solitons
• On type-I singularities in Ricci flow
• On the classification of gradient Ricci solitons
• On complete gradient shrinking Ricci solitons
• Rigidity of shrinking Ricci solitons
• A gap theorem of four-dimensional gradient shrinking solitons
• Strong uniqueness of the Ricci flow
• On a classification of gradient shrinking solitons
• Ricci solitons: The equation point of view
• Isoparametric functions on Riemannian manifolds. I
• Ricci solitons on compact three-manifolds
• Positively curved shrinking Ricci solitons are compact
• Gradient shrinking Ricci solitons of half harmonic Weyl curvature
• Complete gradient shrinking Ricci solitons with pinched curvature
• Transnormal functions on a Riemannian manifold
• On gradient Ricci solitons
• On Bach-flat gradient shrinking Ricci solitons
• Four-dimensional complete gradient shrinking Ricci solitons
• On a classification of 4-d gradient Ricci solitons with harmonic Weyl curvature
• Geometry of isoparametric hypersurfaces in Riemannian manifolds
• \(W\)-entropy, super Perelman Ricci flows, and \((K, m)\)-Ricci solitons
• Rigidity of gradient Ricci solitons
• Gradient shrinking solitons with vanishing Weyl tensor
• Rigidity of asymptotically conical shrinking gradient Ricci solitons
• On four-dimensional anti-self-dual gradient Ricci solitons
• Geometry of shrinking Ricci solitons
• ON LOCALLY CONFORMALLY FLAT GRADIENT SHRINKING RICCI SOLITONS
• On gradient Ricci solitons with constant scalar curvature
• Recent Progress on Ricci Solitons
• Noncompact shrinking four solitons with nonnegative curvature
• TRANSNORMAL SYSTEMS
• Existence of Gradient Kahler-Ricci Solitons

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