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arxiv: 1811.07822 · v1 · pith:SLKPUWS3new · submitted 2018-11-19 · 🧮 math.AP

Existence of a lens-shaped cluster of surfaces self-shrinking by mean curvature

classification 🧮 math.AP
keywords clustercurvatureexistencelens-shapedmeanself-shrinkingsurfacesangles
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We rigorously show the existence of a rotationally and centrally symmetric "lens-shaped" cluster of three surfaces, meeting at a smooth common circle, forming equal angles of 120 degrees, self-shrinking under the motion by mean curvature.

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