English

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

Analysis of PDEs 2019-11-05 v2

Abstract

In this paper we study the classification of compact κ\kappa-noncollapsed ancient solutions to the 3-dimensional Ricci flow which are rotationally and reflection symmetric. We prove that any such solution is isometric to the sphere or the type II ancient solution constructed by G. Perelman.

Keywords

Cite

@article{arxiv.1907.01928,
  title  = {Uniqueness of ancient compact non-collapsed solutions to the 3-dimensional Ricci flow},
  author = {Panagiota Daskalopoulos and Natasa Sesum},
  journal= {arXiv preprint arXiv:1907.01928},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1804.07230