On the Framed Normal Curves in Euclidean 4-space

Year 2021, Volume: 4 Issue: 4, 258 - 263, 01.12.2021

Mahmut Akyiğit , Önder Gökmen Yıldız

https://doi.org/10.33401/fujma.992917

Cited By: 3

Abstract

In this paper, we introduce the adapted frame of framed curves and we give the relations between the adapted frame and Frenet type frame of the framed curve in four-dimensional Euclidean space. Moreover, we define the framed normal curves in four-dimensional Euclidean space. We obtain some characterizations of framed normal curves in terms of their framed curvature functions. Furthermore, we give the necessary and sufficient condition for a framed curve to be a framed normal curve.

Keywords

Framed curves, Normal curves, Singular points

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