Hypersurfaces with a common asymptotic curve in the 4D Galilean space 𝔾4

Abstract

In this study, we investigate how to construct hypersurfaces using an asymptotic curve in the 4D Galilean space [Formula: see text]. Then, by utilizing the Serret–Frenet frame, we give the conditions that a curve becomes asymptotic on a hypersurface when the marching-scale functions are three types of functions. After then, an example connected to our method is given for the aim of visibility.