CURVATURE ESTIMATES FOR GRADIENT EXPANDING RICCI SOLITONS

DOI10.4134/BKMS.b190805zbMath1480.53056OpenAlexW3207935039MaRDI QIDQ5153304

Liangdi Zhang

Publication date: 29 September 2021

Full work available at URL: http://koreascience.or.kr:80/article/JAKO202116739394221.pdf

zbMATH Keywords

curvature estimatenonnegative Ricci curvaturegradient expanding Ricci soliton

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Classification of expanding and steady Ricci solitons with integral curvature decay
• On the classification of gradient Ricci solitons
• Uniformly elliptic operators on Riemannian manifolds
• A complete proof of the Poincaré and geometrization conjectures -- application of the Hamilton-Perelman theory of the Ricci flow
• Ricci solitons: The equation point of view
• Deforming the metric on complete Riemannian manifolds
• Curvature estimates for four-dimensional gradient steady Ricci solitons
• Gradient Ricci solitons with vanishing conditions on Weyl
• The curvature of gradient Ricci solitons
• Complete non-compact gradient Ricci solitons with nonnegative Ricci curvature
• Bach-flat gradient steady Ricci solitons
• Geometry of shrinking Ricci solitons

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