Turkish Journal of Mathematics
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 E^3 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 E^3. Later, some new associated curves of a Frenet curve are defined in E^4.
Keywords
Frenet curve, associated curve, integral curve, general helices, slant helices, rectifying curve
First Page
1023
Last Page
1037
Recommended Citation
MACİT, NESİBE and DÜLDÜL, MUSTAFA
(2014)
"Some new associated curves of a Frenet curve in E^3 and E^4,"
Turkish Journal of Mathematics: Vol. 38:
No.
6, Article 7.
https://doi.org/10.3906/mat-1401-85
Available at:
https://journals.tubitak.gov.tr/math/vol38/iss6/7
