In this paper, the vectorial moment vector of the unit Darboux vector, which consists of the motion of the Frenet vectors on any curve, is reexpressed in the form of Frenet vectors. According to the new version of this vector, the parametric equation of the ruled surface corresponding to the unit dual pole indicatrix curve is given. The integral invariants of this surface are rederived and illustrated by presenting with examples.
Senyurt, Süleyman and Çalıskan, Abdussamet
Dual Pole Indicatrix Curve and Surface,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 15,
2, Article 43.
Available at: https://digitalcommons.pvamu.edu/aam/vol15/iss2/43