An Ancient Stacked Pancake Solution to Mean Curvature Flow

2025/09/30 by Langford, Mat, Mramor, Alexander, Yudowitz, Louis
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2509.26515

Abstract

We construct an embedded ancient solution to the mean curvature flow which is qualitatively given by a ``stack'' of two ancient pancakes joined by a neck. Our solution is closed, non-convex, and contained in a slab.

Citations

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• A Bernstein theorem of ancient solutions to mean curvature flow
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