Semi-Riemannian hypersurfaces in ${\mathbb{L}}^{n+1}$ with a totally geodesic foliation of codimension one

S. M. B. Kashani, M. J. Vanaei, S. M. Yaghoobi

We classify hypersurfaces of the Minkowski space ${Ł}^{n+1}$ that carry a totally geodesic foliation with complete leaves of codimension one. We prove that such a hypersurface is rul…