- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 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 : 17 | Download : 4
Publication Date : 2020-06-30
Article Type : Research
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