非泛型闭自收缩子扰动的分支现象
微分几何
2020-12-09 v3
摘要
我们发现了非泛型闭自收缩子扰动的一个分支现象。若泛型扰动向外，则下一个平均曲率流奇点为柱面型且从外坍塌；若泛型扰动向内，则下一个平均曲率流奇点为柱面型且从内坍塌。
引用
@article{arxiv.2004.07787,
title = {Bifurcation of perturbations of non-generic closed self-shrinkers},
author = {Zhengjiang Lin and Ao Sun},
journal= {arXiv preprint arXiv:2004.07787},
year = {2020}
}
备注
21 pages, 1 figures; We rewrite our proof of theorem 3.1 about the finite time singularity in this version. To appear in Journal of Topology and Analysis