Bifurcation of perturbations of non-generic closed self-shrinkers

Zhengjiang Lin; Ao Sun

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arXiv · 2004.07787

Bifurcation of perturbations of non-generic closed self-shrinkers

Zhengjiang Lin·Ao Sun

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Abstract

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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Zhengjiang Lin, Ao Sun. 2020-04-16. Bifurcation of perturbations of non-generic closed self-shrinkers. https://arxiv.org/abs/2004.07787

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