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arXiv · 2507.22261

Surfaces in a strict Walker 3-manifold that contain non-null curves with zero torsion

El Hadji Baye Camara·Athoumane Niang·Ameth Ndiaye·Adama Thiandoum
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Abstract

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.

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El Hadji Baye Camara, Athoumane Niang, Ameth Ndiaye, Adama Thiandoum. 2025-08-01. Surfaces in a strict Walker 3-manifold that contain non-null curves with zero torsion. https://arxiv.org/abs/2507.22261

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