An Ancient Stacked Pancake Solution to Mean Curvature Flow

Alexander Mramor; Louis Yudowitz

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arXiv · 2509.26515

An Ancient Stacked Pancake Solution to Mean Curvature Flow

Alexander Mramor·Louis Yudowitz

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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.

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Alexander Mramor, Louis Yudowitz. 2025-09-30. An Ancient Stacked Pancake Solution to Mean Curvature Flow. https://arxiv.org/abs/2509.26515

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