Lightlike surfaces with planar normal sections in Minkowski 3-space

preprint2013arXivOpen access

Abstract

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 3−3- 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.

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