CANAL HYPERSURFACES GENERATED BY NON-NULL CURVES IN LORENTZ-MINKOWSKI 4-SPACE

Abstract

In the present paper, firstly we obtain the general expression of the canal hypersurfaces that are formed as the envelope of a family of pseudo hyperspheres, pseudo hyperbolic hyperspheres and null hypercones whose centers lie on a non-null curve with non-null Frenet vector fields in E41 and give their some geometric invariants such as unit normal vector fields, Gaussian curvatures, mean curvatures and principal cur-vatures. Also, we give some results about their flatness and minimality conditions and Weingarten canal hypersurfaces. Also, we obtain these characterizations for tubular hypersurfaces in E41 by taking constant ra-dius function and finally, we construct some examples and visualize them with the aid of Mathematica. © 2023 Korean Mathematical Society.