English

An unknottedness result for noncompact self shrinkers

Differential Geometry 2024-03-12 v9 Geometric Topology

Abstract

In this article we extend an unknottedness theorem for compact self shrinkers to the mean curvature flow to shrinkers with one asymptotically conical end, which conjecturally comprises the entire set of self shrinkers with finite topology and one end. The mean curvature flow itself is used in the argument presented.

Keywords

Cite

@article{arxiv.2005.01688,
  title  = {An unknottedness result for noncompact self shrinkers},
  author = {Alexander Mramor},
  journal= {arXiv preprint arXiv:2005.01688},
  year   = {2024}
}

Comments

Further revised version, to appear in Crelle's

R2 v1 2026-06-23T15:18:06.106Z