On the Framed Normal Curves in Euclidean 4-space
Fundamental journal of mathematics and applications (Online), vol.4, no.4, pp.258-263, 2021 (Peer-Reviewed Journal)
- Publication Type: Article / Article
- Volume: 4 Issue: 4
- Publication Date: 2021
- Doi Number: 10.33401/fujma.992917
- Journal Name: Fundamental journal of mathematics and applications (Online)
- Page Numbers: pp.258-263
- Bilecik Şeyh Edebali University Affiliated: Yes
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.