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arXiv · 2510.05614

Ancient Gauss Curvature Flows of Bounded Width

Beomjun Choi·Kyeongsu Choi·Dongjun Noh
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Abstract

In this paper, we construct a pancake-like ancient compact solution with flat sides to the Gauss curvature flow, contained in a slab. Also, we construct sausage-like ancient compact solutions to the $\alpha$-Gauss curvature flow with $\alpha >\frac{1}{2}$, asymptotic to a round cylinder.

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Beomjun Choi, Kyeongsu Choi, Dongjun Noh. 2025-10-07. Ancient Gauss Curvature Flows of Bounded Width. https://arxiv.org/abs/2510.05614

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