A remark on degenerate singularity in three dimensional Ricci flow

2007/09/05 by Yu Ding, Ding, Yu
Mathematics · Medicine · #53C21 #Advanced Neuroimaging Techniques and Applications #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.0709.0721

openalex publication_date 2007/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that a rescale limit at any degenerate singularity of Ricci flow in dimension 3 is a steady gradient soliton. In particular, we give a geometric description of type I and type II singularities.

Citations

• Precise asymptotics of the Ricci flow neckpinch

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