Zhengjiang Lin — Neckpinchhttps://neckpinch.com/authors/zhengjiang-lin/New arXiv papers by Zhengjiang Lin, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT Bifurcation of perturbations of non-generic closed self-shrinkershttps://neckpinch.com/papers/2004.07787/arxiv:2004.07787Thu, 16 Apr 2020 00:00:00 GMTZhengjiang Lin, Ao Sun — 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.Mean curvature flowSelf-shrinkers & translatorsSingularities(Non)collapsing