English

Mean curvature flow with generic initial data II

Differential Geometry 2023-02-17 v1 Analysis of PDEs

Abstract

We show that the mean curvature flow of a generic closed surface in R3\mathbb{R}^3 avoids multiplicity one tangent flows that are not round spheres/cylinders. In particular, we show that any non-cylindrical self-shrinker with a cylindrical end cannot arise generically.

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Cite

@article{arxiv.2302.08409,
  title  = {Mean curvature flow with generic initial data II},
  author = {Otis Chodosh and Kyeongsu Choi and Felix Schulze},
  journal= {arXiv preprint arXiv:2302.08409},
  year   = {2023}
}

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R2 v1 2026-06-28T08:42:01.125Z