Uniqueness of compact ancient solutions to the higher dimensional Ricci flow
Differential Geometry
2021-02-16 v1
Abstract
In this paper, we study the classification of -noncollapsed ancient solutions to n-dimensional Ricci flow on , extending the result in [13] to higher dimensions. We prove that such a solution is either isometric to a family of shrinking round spheres, or the Type II ancient solution constructed by Perelman.
Keywords
Cite
@article{arxiv.2102.07180,
title = {Uniqueness of compact ancient solutions to the higher dimensional Ricci flow},
author = {Simon Brendle and Panagiota Daskalopoulos and Keaton Naff and Natasa Sesum},
journal= {arXiv preprint arXiv:2102.07180},
year = {2021}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2002.12240