## Advanced Studies in Pure Mathematics

### Singularity analysis of lightlike hypersurfaces of partially null curves

#### 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.

#### Article information

Dates
Revised: 4 August 2016
First available in Project Euclid: 4 October 2018

https://projecteuclid.org/ euclid.aspm/1538618973

Digital Object Identifier
doi:10.2969/aspm/07810183

Mathematical Reviews number (MathSciNet)
MR3839945

Zentralblatt MATH identifier
07085103

Subjects
Primary: 53A35: Non-Euclidean differential geometry
Secondary: 58C27 58C28

#### Citation

Cui, Xiupeng; Pei, Donghe. Singularity analysis of lightlike hypersurfaces of partially null curves. Singularities in Generic Geometry, 183--200, Mathematical Society of Japan, Tokyo, Japan, 2018. doi:10.2969/aspm/07810183. https://projecteuclid.org/euclid.aspm/1538618973