Legendrian curve shortening flow in mathbb{R}³
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🧮 math.DG
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curveshorteningfigure-eightflowlegendrianmathbbconditionscurvature
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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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