Shrinkers with curvature pinching conditions are compact
Differential Geometry
2023-07-12 v2
Abstract
In this paper, we give various curvature pinching conditions such that shrinkers are compact. On one hand, we prove that shrinkers with positive Ricci curvature are compact when they have bounded curvature and certain curvature pinching conditions. On the other hand, we prove that shrinkers with certain asymptotically nonnegative sectional curvature are compact. As applications, some related classifications of shrinkers are provided.
Keywords
Cite
@article{arxiv.2305.04235,
title = {Shrinkers with curvature pinching conditions are compact},
author = {Guoqiang Wu and Jia-Yong Wu},
journal= {arXiv preprint arXiv:2305.04235},
year = {2023}
}
Comments
Reference [14] and some comments added