Normal-like Curves with Respect to the Special Case of the ED-frame in Euclidean $4$-space

Abstract

The aim of this study is to present normal-like curves with respect to the special case of the ED-frame in Euclidean $4$-space. Furthermore, the relationship between geodesic torsion and curvature is given so that a curve lying on an oriented surface M in $4$-dimensional Euclidean space is congruent to a normal-like curve according to the special case of the ED-frame. Finally, an example of the study is presented.