Singularity properties of one parameter lightlike hypersurfaces in Minkowski 4-space

Volume 8, Issue 5, pp 467--477 http://dx.doi.org/10.22436/jnsa.008.05.02

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Authors

Jianguo Sun - School of Science, China University of Petroleum (east China), Qingdao, 266580, P. R. China. Donghe Pei - School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, P. R. China.

Abstract

In this paper, we give one parameter families of extrinsic differential geometries on spacelike curves in Minkowski 4-space. We investigate the nonlinear properties of one parameter lightlike hypersurfaces. Meanwhile, the classification of singularities to one parameter lightlike hypersurfaces is considered by singularity theory.

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Keywords

• Minkowski space
• singularity
• one parameter lightlike hypersurfaces
• height function.

MSC

•  58K27
•  53B50
•  53A35

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