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

Year 2022, Volume: 4 Issue: 1, 20 - 24, 24.07.2022

Özcan Bektaş

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.

Keywords

Normal-like curve, extended Darboux frame, geodesic curvature, geodesic torsion

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