Closed Ricci Flows with Singularities Modeled on Asymptotically Conical Shrinkers
arXiv:2202.03386 · doi:10.2140/gt.2026.30.1277
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.
94 pages, 2 figures; comments welcome; extended the result to allow more general topologies for the closed manifold