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arXiv · 1508.01186

Legendrian curve shortening flow in $\mathbb{R}^{3}$

Gregory Drugan·Weiyong He·Micah W. Warren
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Abstract

Motivated by Legendrian curve shortening flows in $\mathbb{R}^{3}$, 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.

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Gregory Drugan, Weiyong He, Micah W. Warren. 2015-08-05. Legendrian curve shortening flow in $\mathbb{R}^{3}$. https://arxiv.org/abs/1508.01186

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