Legendrian curve shortening flow in $\mathbb{R}^{3}$
Differential Geometry
2015-08-06 v1
Abstract
Motivated by Legendrian curve shortening flows in , we study the curve shortening flow of figure-eight curves in the plane. We show that, under some symmetry and curvature conditions, a figure-eight curve will shrink to a point at the first singular time.
Keywords
Cite
@article{arxiv.1508.01186,
title = {Legendrian curve shortening flow in $\mathbb{R}^{3}$},
author = {Gregory Drugan and Weiyong He and Micah W. Warren},
journal= {arXiv preprint arXiv:1508.01186},
year = {2015}
}