论文标题
非一般封闭自我脱夹的扰动分叉
Bifurcation of perturbations of non-generic closed self-shrinkers
论文作者
论文摘要
我们发现了非生成封闭自我脱夹的扰动的分叉。如果通用扰动是向外的,则下一个平均曲率流奇异性是圆柱形的,外部崩溃了。如果通用扰动是向内的,则下一个平均曲率流奇异性是圆柱形的,并且从内部崩溃。
We discover a bifurcation of the perturbations of non-generic closed self-shrinkers. If the generic perturbation is outward, then the next mean curvature flow singularity is cylindrical and collapsing from outside; if the generic perturbation is inward, then the next mean curvature flow singularity is cylindrical and collapsing from inside.