Area growth rate of the level surface of the potential function on the 3-dimensional steady gradient Ricci soliton

DOI10.1090/S0002-9939-09-09792-5zbMath1167.53056WikidataQ126080394 ScholiaQ126080394MaRDI QIDQ3629433

Hong Xin Guo

Publication date: 27 May 2009

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

zbMATH Keywords

self-similar solutionsrigiditygradient solitons\(\kappa\)-noncollapsedstrictly positive sectional curvature

Mathematics Subject Classification ID

Related Items (9)

On four-dimensional steady gradient Ricci solitons that dimension reduce ⋮ Rotational symmetry of self-similar solutions to the Ricci flow ⋮ Evolution equation of the Gauss curvature under hypersurface flows and its applications ⋮ Lower bounds for the scalar curvatures of noncompact gradient Ricci solitons ⋮ On locally conformally flat gradient steady Ricci solitons ⋮ Level set flow in 3D steady gradient Ricci solitons ⋮ Remarks on noncompact steady gradient Ricci solitons ⋮ On the Ricci curvature of steady gradient Ricci solitons ⋮ Singularity models in the three-dimensional Ricci flow

Cites Work

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• On the classification of gradient Ricci solitons
• Dimensional reduction and the long-time behavior of Ricci flow
• On a classification of gradient shrinking solitons
• Rigidity of gradient Ricci solitons
• Geometry of 3-dimensional gradient Ricci solitons with positive curvature
• On Four-Dimensional Gradient Shrinking Solitons
• Noncompact shrinking four solitons with nonnegative curvature

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