English

Unique asymptotics of ancient compact non-collapsed solutions to the 3-dimensional Ricci flow

Differential Geometry 2019-07-01 v1

Abstract

We consider compact noncollapsed ancient solutions to the 3-dimensional Ricci flow that are rotationally and reflection symmetric. We prove that these solutions are either the spheres or they all have unique asymptotic behavior as tt\to-\infty and we give their precise asymptotic description. This description applies in particular to the solution constructed by G.Perelman

Keywords

Cite

@article{arxiv.1906.11967,
  title  = {Unique asymptotics of ancient compact non-collapsed solutions to the 3-dimensional Ricci flow},
  author = {Sigurd Angenent and Panagiota Daskalopoulos and Natasa Sesum},
  journal= {arXiv preprint arXiv:1906.11967},
  year   = {2019}
}