Uniqueness of regular shrinkers with 2 closed regions
Differential Geometry
2019-02-13 v2
Abstract
Regular shrinkers describe blow-up limits of a finite-time singularity of the motion by curvature of planar network of curves. This follows from Huisken's monotonicity formula. In this paper, we show that there is only one regular shrinker with 2 closed regions. This regular shrinker is the Cisgeminate eye. Moreover, we find some degenerate regular shrinkers with 2 closed regions.
Cite
@article{arxiv.1901.10315,
title = {Uniqueness of regular shrinkers with 2 closed regions},
author = {Jui-En Chang and Yang-Kai Lue},
journal= {arXiv preprint arXiv:1901.10315},
year = {2019}
}