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  Citation Number 16
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Some new associated curves of a Frenet curve in E3 and E4
2014
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.3906/mat-1401-85
Abstract:

In this paper, firstly, we define a W -direction curve and W -rectifying curve of a Frenet curve in 3-dimensional Euclidean space E3 by using the unit Darboux vector field W of the Frenet curve and give some characterizations together with the relationships between the curvatures of each associated curve. We also introduce a V -direction curve, which is associated with a curve lying on an oriented surface in E3. Later, some new associated curves of a Frenet curve are defined in E4.

Keywords:

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Turkish Journal of Mathematics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 2.274
Cite : 712
2023 Impact : 0.039
Details
Turkish Journal of Mathematics