Relations between a Dual Unit Vector and Frenet Vectors of a Dual Curve
Keywords:
Dual angle, dual Darboux slant helix, dual helix, dual slant helix, motions of Frenet vectors.Abstract
In this paper, we generalize the notions of helix and slant helix in dual space in a more general case such as the dual angle between a fixed dual unit vector and Frenet vectors of a dual curve is not constant. We study the motions of the lines corresponding to dual Frenet vectors and dual Frenet instantaneous rotation vector with respect to a fixed line. We obtain some characterizations for such dual curves and show that these characterizations include the definitions and characterizations of dual helix and dual slant helix in some special cases.
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