Rigidity of the round cylinders in Ricci shrinkers
Differential Geometry
2023-03-30 v2
Abstract
In this paper, we prove that the round cylinders are rigid in the space of Ricci shrinkers. Namely, any Ricci shrinker that is sufficiently close to in the pointed-Gromov-Hausdorff topology must itself be isometric to .
Cite
@article{arxiv.2108.03622,
title = {Rigidity of the round cylinders in Ricci shrinkers},
author = {Yu Li and Bing Wang},
journal= {arXiv preprint arXiv:2108.03622},
year = {2023}
}
Comments
Revised version, accepted by Journal of Differential Geometry