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 M in Lorentzian space by using its principal curvatures and we proved the theorem with induction method by using higher order Gaussian curvatures of M in Lorentzian space.