Translators of the Gauss curvature flow
| Autor: | Aydin, Muhittin Evren, López, Rafael |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | A $K^\alpha$-translator is a surface in Euclidean space $\r^3$ that moves by translations in a spatial direction and under the $K^\alpha$-flow, where $K$ is the Gauss curvature and $\alpha$ is a constant. We classify all $K^\alpha$-translators that are rotationally symmetric. In particular, we prove that for each $\alpha$ there is a $K^\alpha$-translator intersecting orthogonally the rotation axis. We also describe all $K^\alpha$-translators invariant by a uniparametric group of helicoidal motions and the translators obtained by separation of variables. |
| Databáze: | arXiv |
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