Clothoid helices obtained via the Lie-Darboux method
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918519774380032 |
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| author | Rosu, H. C. de la Cruz, J. Lemus-Basilio, P. |
| author_facet | Rosu, H. C. de la Cruz, J. Lemus-Basilio, P. |
| contents | The clothoid helices that have both curvature and torsion directly proportional to the arclength are obtained via the Lie-Darboux method and analyzed in some detail. Shifted counterparts are also introduced and studied within the same framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_06577 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Clothoid helices obtained via the Lie-Darboux method Rosu, H. C. de la Cruz, J. Lemus-Basilio, P. Mathematical Physics The clothoid helices that have both curvature and torsion directly proportional to the arclength are obtained via the Lie-Darboux method and analyzed in some detail. Shifted counterparts are also introduced and studied within the same framework. |
| title | Clothoid helices obtained via the Lie-Darboux method |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2604.06577 |