Counting ends on shrinkers
Differential Geometry
2022-01-06 v3
Abstract
In this paper we apply a geometric covering method to study the number of ends on shrinkers. On one hand, we prove that the number of ends on any complete non-compact shrinker is at most polynomial growth with fixed degree. On the other hand, we prove that any complete non-compact shrinker with certain volume comparison condition has finitely many ends. Some special cases of shrinkers are also discussed.
Keywords
Cite
@article{arxiv.2112.06158,
title = {Counting ends on shrinkers},
author = {Jia-Yong Wu},
journal= {arXiv preprint arXiv:2112.06158},
year = {2022}
}
Comments
25 pages, 2 figures added