Ancient Gauss Curvature Flows of Bounded Width
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914079046631424 |
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| author | Choi, Beomjun Choi, Kyeongsu Noh, Dongjun |
| author_facet | Choi, Beomjun Choi, Kyeongsu Noh, Dongjun |
| contents | 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 $α$-Gauss curvature flow with $α>\frac{1}{2}$, asymptotic to a round cylinder. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_05614 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ancient Gauss Curvature Flows of Bounded Width Choi, Beomjun Choi, Kyeongsu Noh, Dongjun Differential Geometry Analysis of PDEs 53E99, 35J96 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 $α$-Gauss curvature flow with $α>\frac{1}{2}$, asymptotic to a round cylinder. |
| title | Ancient Gauss Curvature Flows of Bounded Width |
| topic | Differential Geometry Analysis of PDEs 53E99, 35J96 |
| url | https://arxiv.org/abs/2510.05614 |