Lightlike hypersurfaces with planar normal sections in R₁⁴

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:69 Issue:1
Lightlike hypersurfaces with planar normal sections in R₁⁴

Lightlike hypersurfaces with planar normal sections in R₁⁴

Authors : Selcen YÜKSEL PERKTAŞ, Feyza Esra ERDOĞAN

Pages : 336-346

Doi:10.31801/cfsuasmas.473923

View : 57 | Download : 10

Publication Date : 2020-06-30

Article Type : Research Paper

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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