Relative nullity space foliation of the screen distribution of a lightlike hypersurfaces.

Abstract

This paper deals with results concerning the relative nullity foliation of the screen distribution of a lightlike Einstein hypersurface $M$ in the Lorentzian space $\mathbb{R}^{n+2}_{1}$ and gives a characterization theorem for the relative nullity spaces. Many differences from the Riemannian case are due to the fact that the metric in consideration is degenerate.