Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916609262616576 |
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| author | Musso, Emilio Pámpano, Álvaro |
| author_facet | Musso, Emilio Pámpano, Álvaro |
| contents | We provide a geometric transformation on null curves in the anti-de Sitter 3-space (AdS) which induces the Bäcklund transformation for the KdV equation. In addition, we show that this geometric transformation satisfies a suitable permutability theorem. We also illustrate how to implement it when the original null curve has constant bending. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_10765 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space Musso, Emilio Pámpano, Álvaro Differential Geometry We provide a geometric transformation on null curves in the anti-de Sitter 3-space (AdS) which induces the Bäcklund transformation for the KdV equation. In addition, we show that this geometric transformation satisfies a suitable permutability theorem. We also illustrate how to implement it when the original null curve has constant bending. |
| title | Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2312.10765 |