Affiliation:
1. Department of Mathematics, Faculty of Arts and Sciences, Kırşehir Ahi Evran University, Kırşehir, Turkey
Abstract
In this study, we introduce framed clad helices, which are a generalization
of clad (i.e. C-slant or 2-slant) helices in Euclidean 3-space. They also
include framed helices and framed slant helices. After, we give a
characterization of the framed clad helices using the alternative adapted
frame, which is more useful than the adapted frame of a framed curve.
Moreover, we prove the existence of framed spherical images of any framed
curve using alternative adapted frames. Additionally, we obtain interesting
results regarding the relationship between a framed clad helix and its
framed spherical images. Finally, we support the concept with some nice
graphics.
Publisher
National Library of Serbia
Reference38 articles.
1. A.T. Ali, New special curves and their spherical indicatrix, Glob. J. Adv. Res. Class. Mod. Geom. 1(2) (2012), 28-38 .
2. A.T. Ali, Position vectors of slant helices in Euclidean 3-space, Journal of the Egyptian Mathematical Society 20 (2012), 1-6.
3. A.T. Ali, Generalization of general helices and slant helices, Journal of Mahani Mathematical Research Center, 6(1) (2017), 25-41.
4. M. Barros, General helices and a theorem of Lancert, Proc. Am. Math. Soc. 125(5) (1997), 1503-1509.
5. R.L. Bishop, There is more than one way to frame a curve, Am. Math. Monthly 82 (1975), 246-251.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献