On the Gaussıan and Mean Curvatures of Parallel Hypersurfaces in E₁ⁿ⁺¹

Abstract

Let M be a hypersurfaces in (n+1) dimensional Lorentzian space E1n+1 and be a parallel hypersurfaces to M. Before now in [2] the theorem was proved on M in Euclidean space, but now we prove this theorem on in Lorentzian Space. In this study, we give higher order Gaussian curvatures of in Lorentzian space by using its principal curvatures and we proved the theorem with induction method by using higher order Gaussian curvatures of in Lorentzian space.