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Nonplanar ancient curve shortening flows in $\mathbb{R}^3$ from grim reapers

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arxiv 2201.02134 v2 pith:T3O7L3AT submitted 2022-01-06 math.DG

classification math.DG
keywords ancientcurvegrimmathbbnonplanarreapersshorteningbuilt
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abstract

In this note we construct new nonplanar ancient (in fact, eternal) solutions to the curve shortening flow in $\mathbb{R}^3$, built out of translating grim reapers laying in perpendicular planes.

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