Closed Ricci Flows with Singularities Modeled on Asymptotically Conical Shrinkers
Differential Geometry
2024-07-30 v2 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.2202.03386,
title = {Closed Ricci Flows with Singularities Modeled on Asymptotically Conical Shrinkers},
author = {Maxwell Stolarski},
journal= {arXiv preprint arXiv:2202.03386},
year = {2024}
}
Comments
94 pages, 2 figures; comments welcome; extended the result to allow more general topologies for the closed manifold