A property that characterizes the Enneper surface and helix surfaces
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_ | 1866915757633306624 |
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| author | Lucas, Pascual Ortega-Yagües, José Antonio |
| author_facet | Lucas, Pascual Ortega-Yagües, José Antonio |
| contents | The main goal of this paper is to show that helix surfaces and the Enneper surface are the only surfaces in the 3-dimensional Euclidean space $R^3$ whose isogonal lines are generalized helices and pseudo-geodesic lines. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19253 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A property that characterizes the Enneper surface and helix surfaces Lucas, Pascual Ortega-Yagües, José Antonio Differential Geometry 53A04, 53A05 The main goal of this paper is to show that helix surfaces and the Enneper surface are the only surfaces in the 3-dimensional Euclidean space $R^3$ whose isogonal lines are generalized helices and pseudo-geodesic lines. |
| title | A property that characterizes the Enneper surface and helix surfaces |
| topic | Differential Geometry 53A04, 53A05 |
| url | https://arxiv.org/abs/2601.19253 |