Year: 2026
Type: preprint
Abstract: In [SX25], we introduced the notion of nondegenerate cylindrical singularity using the ideas from dynamical systems. In this paper, we further study the properties of these singularities, showing that they are stable under small perturbations. Furthermore, we show that we can perturb some mean curvature flow with degenerate singularities to produce nondegenerate singularities.
Source: arXiv (Cornell University)
Authors: Sun, Ao, Xue, Jinxin
Institutions: Tsinghua University, Lehigh University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213608268