Singularity analysis of pseudo null hypersurfaces and pseudo hyperbolic hypersurfaces (Q2812326)
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scientific article; zbMATH DE number 6594276
| Language | Label | Description | Also known as |
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| English | Singularity analysis of pseudo null hypersurfaces and pseudo hyperbolic hypersurfaces |
scientific article; zbMATH DE number 6594276 |
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Singularity analysis of pseudo null hypersurfaces and pseudo hyperbolic hypersurfaces (English)
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16 June 2016
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Minkowski space
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singularity
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pseudo null hypersurfaces
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pseudo hyperbolic hypersurfaces
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The author investigates the differential geometry of pseudo null curves in Minkowski 4-space. The most interesting case is the contact of pseudo null curves with hyperbolic 3-space. The geometric characterizations of pseudo null curves and the singularities of pseudo null hypersurfaces and pseudo hyperbolic hypersurfaces are obtained (Theorem 2.1 and Theorem 2.2). Other papers of the author directly connected to this topic are [J. Math. Anal. Appl. 400, No. 1, 133--142 (2013; Zbl 1259.53019); Phys. Lett., A 378, No. 14--15, 1010--1016 (2014; Zbl 1296.53043); J. Nonlinear Sci. Appl. 8, No. 3, 275--284 (2015; Zbl 1329.53020)], all jointly with \textit{D. Pei}.
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