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

Lin, Zhengjiang, Sun, Ao

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.

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