Characterizations of Framed Curves in Four-Dimensional Euclidean Space

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Universal Journal of Mathematics and Applications
Volume: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 : 16 | Download : 6

Publication Date : 2021-12-30

Article Type : Research Paper

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

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