Research Abstract
In this work, we prove that the ratio of torsion and curvature of any dual rectifying curve is
a non-constant linear function of its dual arc length parameter. Thereafter, a dual dierential equation
of third order is constructed for every dual curve. Then, several well-known characterizations of dual
spherical, normal and rectifying curves are consequences of this dierential equation. Finally, we
prove a simple new characterization of dual spherical curves in terms of the Darboux vector.
Research Date
Research Department
Research Journal
AIMS Mathematics
Research Member
Research Publisher
AIMS Mathematics
Research Rank
Q2
Research Vol
Vol. 6, No. 4
Research Website
http://www.aimspress.com/journal/Math
Research Year
2021
Research Pages
3339- 3351