English

A note on convergence of noncompact nonsingular solutions of the Ricci flow

Differential Geometry 2020-09-16 v1

Abstract

We extend some convergence results on nonsingular compact Ricci flows in the papers \cite{Ha:1}, \cite{Se:1} and \cite{FZZ:2} to certain infinite volume noncompact cases which are "partially" nonsingular. As an application, for a finite time singularity which is partially type I, it is shown that a blow up limit is a gradient shrinking soliton.

Keywords

Cite

@article{arxiv.2009.06892,
  title  = {A note on convergence of noncompact nonsingular solutions of the Ricci flow},
  author = {Qi S Zhang},
  journal= {arXiv preprint arXiv:2009.06892},
  year   = {2020}
}