Surfaces in a strict Walker 3-manifold that contain non-null curves with zero torsion
Differential Geometry
2025-08-04 v3
Abstract
Given a non-null curve in a strict Walker 3-manifold, first we show that (locally) lies in a flat cylinder with a null axis. Secondly, we construct an example of such a curve and such a cylinder that contains . In particular, the hypothesis that is totally geodesic has some consequence on the geometry of the ambient Walker 3-manifold.
Cite
@article{arxiv.2507.22261,
title = {Surfaces in a strict Walker 3-manifold that contain non-null curves with zero torsion},
author = {El Hadji Baye Camara and Athoumane Niang and Ameth Ndiaye and Adama Thiandoum},
journal= {arXiv preprint arXiv:2507.22261},
year = {2025}
}