Lightlike hypersurfaces with planar normal sections in R₁⁴

Abstract

In the present paper our aim is to investigate lightlike hypersurfaces of $\mathbb{R}^4_1$ having degenerate or non-degenerate planar normal sections.

Firstly, we prove that as lightlike hypersurfaces in $\mathbb{R}^4_1$ always has degenerate planar normal

sections. Then we examine the conditions for lightlike hypersurfaces in $\mathbb{R}^4_1$ to have non-degenerate planar normal

sections and obtain some characterizations for such lightlike hypersurfaces.

Keywords

• Lightlike hypersurface,non-degenerate planar normal section,degenerate normal section

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