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arXiv · 1605.03100

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

Karen Corrales
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Abstract

In this paper we prove that a certain class of embedded unknotted curves in $\mathbb{R}^3$ 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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Karen Corrales. 2016-05-10. Non existence of Type II singularities for embedded and unknotted space curves. https://arxiv.org/abs/1605.03100

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