arXiv subjects

Athoumane Niang

Publications and source records attributed to Athoumane Niang.

2 recordsLinked to original sources

arXiv2025

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

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.

math.DG↗

arXiv2024

On timelike Bonnet surfaces in Lorentzian 3-manifold

In this paper we generalized a result of Soley Ersoy and Kemal Eren [10] about Bonnet timelike surface in Minkowski 3-space. We give a necessary and sufficient condition for a surface M in a Lorentzian 3-space to be timelike Bonnet surface. At the end, a theorem of classification of timelike Bonnet surface in a Lorentzian 3-space is given.

math.DG↗