Advanced Studies in Pure Mathematics

Singularity analysis of lightlike hypersurfaces of partially null curves

Xiupeng Cui and Donghe Pei

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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

Source
Singularities in Generic Geometry, S. Izumiya, G. Ishikawa, M. Yamamoto, K. Saji, T. Yamamoto and M. Takahashi, eds. (Tokyo: Mathematical Society of Japan, 2018), 183-200

Dates
Received: 31 March 2016
Revised: 4 August 2016
First available in Project Euclid: 4 October 2018

Permanent link to this document
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

Keywords
partially null curve semi-Euclidean 4-space with index 2 lightlike hypersurface Gaussian surface

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


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