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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.22261 |
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| _version_ | 1866916874741088256 |
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| author | Camara, El Hadji Baye Niang, Athoumane Ndiaye, Ameth Thiandoum, Adama |
| author_facet | Camara, El Hadji Baye Niang, Athoumane Ndiaye, Ameth Thiandoum, Adama |
| contents | Given a non-null curve $γ$ in a strict Walker 3-manifold, first we show that (locally) $γ$ lies in a flat cylinder with a null axis. Secondly, we construct an example of such a curve $γ$ and such a cylinder $S$ that contains $γ$ . In particular, the hypothesis that $S$ is totally geodesic has some consequence on the geometry of the ambient Walker 3-manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22261 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Surfaces in a strict Walker 3-manifold that contain non-null curves with zero torsion Camara, El Hadji Baye Niang, Athoumane Ndiaye, Ameth Thiandoum, Adama Differential Geometry Given a non-null curve $γ$ in a strict Walker 3-manifold, first we show that (locally) $γ$ lies in a flat cylinder with a null axis. Secondly, we construct an example of such a curve $γ$ and such a cylinder $S$ that contains $γ$ . In particular, the hypothesis that $S$ is totally geodesic has some consequence on the geometry of the ambient Walker 3-manifold. |
| title | Surfaces in a strict Walker 3-manifold that contain non-null curves with zero torsion |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2507.22261 |