Advanced Studies in Pure Mathematics

Singularity analysis of lightlike hypersurfaces of partially null curves

Xiupeng Cui and Donghe Pei

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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

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

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

Permanent link to this document euclid.aspm/1538618973

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

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


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.

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