DOI: 10.36890/iejg.1920156 ISSN: 1307-5624

Canal Hypersurfaces Generated by Pseudo Null, Partially Null and Null Curves in Lorentz-Minkowski 4-Space

Mustafa Altın, Ahmet Kazan, Dae Won Yoon
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In this paper, we obtain the parametric expressions of the canal hypersurfaces that are formed as the envelope of a family of pseudo hyperspheres or pseudo hyperbolic hyperspheres whose centers lie on a pseudo null, partially null or null curve in $E_{1}^{4}$ and give some geometric invariants such as unit normal vector fields, Gauss-Kronecker curvatures and mean curvatures of the ones generated by pseudo null and partially null curves. Also, we construct some examples for these canal hypersurfaces and finally, we give some characterizations for tubular hypersurfaces in $E_{1}^{4}$.

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