- Universal Journal of Mathematics and Applications
- Vol: 4 Issue: 4
- Characterizations of Framed Curves in Four-Dimensional Euclidean Space
Characterizations of Framed Curves in Four-Dimensional Euclidean Space
Authors : Bahar Doğan Yazici, Sıddıka Özkaldi Karakuş, Murat Tosun
Pages : 125-131
Doi:10.32323/ujma.1008148
View : 20 | Download : 5
Publication Date : 2021-12-30
Article Type : Research
Abstract :Framed curves in Euclidean space are used to investigate singular curves and are important for singularity theory. In this study, framed curves in four-dimensional Euclidean space are introduced and new results are obtained. The relation of framed curves with Frenet curves in four-dimensional Euclidean space is given and Bishop-type frame of framed curves is introduced with the help of Euler angles. In addition, by using Bishop-type framed curves in four-dimensional Euclidean space, framed rectifying curves, framed osculating curves and framed normal curves are introduced. Also, some characterizations depending on framed curvatures are obtained.Keywords : Euler angles, Bishop-type framed curves, Framed curves in R4