Lightlike surfaces with planar normal sections in Minkowski 3-space

In this paper we study lightlike surfaces of Minkowski 3- space such that they have degenerate or non-degenerate planar normal sections. We first show that every lightlike surface of Minkowski $3-$ space has degenerate planar normal sections. Then we study lightlike surfaces with non-degenerate plan...

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Hauptverfasser: Erdogan, Feyza Esra, Sahin, Bayram, Gunes, Rifat
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Sprache:eng
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Zusammenfassung:In this paper we study lightlike surfaces of Minkowski 3- space such that they have degenerate or non-degenerate planar normal sections. We first show that every lightlike surface of Minkowski $3-$ space has degenerate planar normal sections. Then we study lightlike surfaces with non-degenerate planar normal sections and obtain a characterization for such lightlike surfaces.
DOI:10.48550/arxiv.1301.5772