Invariant $λ$-translators for the Gauss curvature flow in Euclidean space
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918129808965632 |
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| author | Aydin, Muhittin Evren López, Rafael |
| author_facet | Aydin, Muhittin Evren López, Rafael |
| contents | A $λ$-translator is a surface in Euclidean space $\mathbb{R}^3$ whose Gauss curvature $K$ satisfies $K=\langle N, \vec{v} \rangle +λ$, where $N$ is the Gauss map, $\vec{v}$ is a fixed direction, and $λ\in \mathbb{R}$. In this paper, we classify all $λ$-translators that are invariant by a one-parameter group of translations and a one-parameter group of rotations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17321 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Invariant $λ$-translators for the Gauss curvature flow in Euclidean space Aydin, Muhittin Evren López, Rafael Differential Geometry 53A05, 53C21, 53C42 A $λ$-translator is a surface in Euclidean space $\mathbb{R}^3$ whose Gauss curvature $K$ satisfies $K=\langle N, \vec{v} \rangle +λ$, where $N$ is the Gauss map, $\vec{v}$ is a fixed direction, and $λ\in \mathbb{R}$. In this paper, we classify all $λ$-translators that are invariant by a one-parameter group of translations and a one-parameter group of rotations. |
| title | Invariant $λ$-translators for the Gauss curvature flow in Euclidean space |
| topic | Differential Geometry 53A05, 53C21, 53C42 |
| url | https://arxiv.org/abs/2508.17321 |