Closed Ricci Flows with Singularities Modeled on Asymptotically Conical Shrinkers

2022/02/07 by Stolarski, Maxwell · 3 citations
#53E20 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2202.03386

Abstract

Given an asymptotically conical, shrinking, gradient Ricci soliton, we show that there exists a Ricci flow solution on a closed manifold that forms a finite-time singularity modeled on the given soliton. No symmetry or Kahler assumptions on the soliton are required. The proof provides a precise asymptotic description of the singularity formation.

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