Characterizations of Framed Curves in Four-Dimensional Euclidean Space

Abstract

Framed curves in Euclidean space are used to investigate singular curves and are important for singularity theory. In this study, we investigate framed curves in four-dimensional Euclidean space. We introduce Bishop-type frame of framed curves is with the help of Euler angles. Also, we give framed rectifying curves, framed osculating curves and framed normal curves with the help of Bishop-type framed curves in four-dimensional Euclidean space. Also, we obtain some characterizations depending on framed curvatures. © 2021, Emrah Evren KARA. All rights reserved.