Classification of ruled surfaces as homothetic self-similar solutions of the inverse mean curvature flow in the Lorentz-Minkowski 3-space
| Autor: | Neto, Gregório Silva, Silva, Vanessa |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we classify the nondegenerate ruled surfaces in the three-dimensional Lorentz-Minkowski space that are homothetic self-similar solutions for the inverse mean curvature flow. This classification shows the existence of two classes of non-cylindrical homothetic solitons: one with lightlike rulings and another one with non-lightlike rulings. Comment: 26 pages, 6 figures. Final version, to appear in the Bulletin of the Brazilian Mathematical Society, New Series. arXiv admin note: substantial text overlap with arXiv:2308.11457 |
| Databáze: | arXiv |
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