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Keywords = canal hypersurface

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19 pages, 1136 KB  
Article
Canal Hypersurfaces Generated by Pseudo-Null Curves with Bishop Frame in Lorentz–Minkowski 4-Space
by Ahmet Kazan, Sema Kazan, Sümeyye Gür Mazlum, Emel Karaca, Mustafa Altın and Luca Grilli
Symmetry 2026, 18(6), 935; https://doi.org/10.3390/sym18060935 - 29 May 2026
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Abstract
In this paper, we deal with the canal hypersurfaces that are formed as the envelope of a family of pseudo-hyperspheres or pseudo-hyperbolic hyperspheres with centers lying on a pseudo-null curve with Bishop vector fields in four-dimensional Lorentz–Minkowski space. We give main theorems which [...] Read more.
In this paper, we deal with the canal hypersurfaces that are formed as the envelope of a family of pseudo-hyperspheres or pseudo-hyperbolic hyperspheres with centers lying on a pseudo-null curve with Bishop vector fields in four-dimensional Lorentz–Minkowski space. We give main theorems which contain the parametric expressions of these canal hypersurfaces along with their Gaussian, mean, and principal curvatures and important geometric characterizations. We also provide these characterizations for tubular hypersurfaces. Finally, we construct an example to allow for better understanding and comprehension of the results. Full article
(This article belongs to the Special Issue Mathematics: Feature Papers 2026)
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