Full paper in PDF format:
$%A. Yücesan, N. Ayyildiz, and A. C. Çöken, On rectifying dual space curves, Rev. Mat. Complut. 20 (2007), no. 2, 497–506.%$

On Rectifying Dual Space Curves
Ahmet YÜCESAN, Nihat AYYILDIZ,
and A. Ceylan ÇÖKEN
Süleyman Demirel University
Department of Mathematics
32260 Isparta — Turkey

yucesan@fef.sdu.edu.tr     ayyildiz@fef.sdu.edu.tr
ceylan@fef.sdu.edu.tr

Received: October 23, 2006
Accepted: April 26, 2007

ABSTRACT

We give some characterizations of the rectifying curves in the dual space and show that rectifying dual space curves can be stated with the aid of dual unit spherical curves. Thus, we have a link between rectifying dual space curves and classical surfaces in the Euclidean three-space.

Key words: dual space, rectifying dual space curve, Frenet formulae, dual Darboux vector.
2000 Mathematics Subject Classification:
53A04, 53A25, 53A40.