A Study on Generalized Tubes

Abstract

In this paper, we consider generalized tubes, which we refer to in the paper as hereafter GTs, according to q-frame in Euclidean space $E^{3}$. First, we give a parametric representation of directional generalized tubes (DGTs). Since GT class is divided by two important subclasses, we investigate geometric properties of these two classes with respect to the q-frame.

Keywords

• Adapted frame,Frenet frame,Generalized tubes.

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