Non existence of Type II singularities for embedded and unknotted space curves

2016/05/10 by Corrales, Karen
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1605.03100

Abstract

In this paper we prove that a certain class of embedded unknotted curves in ℝ³ evolving under curve shortening flow do not form singularities Type II before collapsing to a point. Our proof uses tools of the minimal surface theory to study a suitable isoperimetric ratio.

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