On the Framed Normal Curves in Euclidean 4-space

Authors : Mahmut Akyiğit, Önder Gökmen Yildiz

Pages : 258-263

Doi:10.33401/fujma.992917

View : 18 | Download : 11

Publication Date : 2021-12-01

Article Type : Research

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