Open Access
VOL. 78 | 2018 Singularity analysis of lightlike hypersurfaces of partially null curves
Xiupeng Cui, Donghe Pei

Editor(s) Shyuichi Izumiya, Goo Ishikawa, Minoru Yamamoto, Kentaro Saji, Takahiro Yamamoto, Masatomo Takahashi

Adv. Stud. Pure Math., 2018: 183-200 (2018) DOI: 10.2969/aspm/07810183

Abstract

We have gotten singularity classifications of lightlike hypersurfaces of a pseudo null curve in $\mathbb{R}_2^4$[6]. This paper is to characterize singularities of lightlike hypersurfaces of a partially null curve in the same space and give an example of such curves.

Information

Published: 1 January 2018
First available in Project Euclid: 4 October 2018

zbMATH: 1421.53017
MathSciNet: MR3839945

Digital Object Identifier: 10.2969/aspm/07810183

Subjects:
Primary: 53A35
Secondary: 58C27 , 58C28

Keywords: Gaussian surface , Lightlike hypersurface , partially null curve , semi-Euclidean 4-space with index 2

Rights: Copyright © 2018 Mathematical Society of Japan

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