In this paper, we study spinor Bishop equations of curves in 3 . We research the spinor formulations of curves according to Bishop frames in 3 . Also, the relation between spinor formulations of Bishop frames and Frenet frame are expressed.

Abstract. In this paper, the spinor formulation of Darboux frame on an oriented surface is given. Also, the relation between spinor formulation of Frenet frame and Darboux frame is obtained.

In the present study, we attend to the canal surfaces with the spine curve [Formula: see text] according to the parallel transport frame in Euclidean [Formula: see text]-space [Formula: see text]. We give an example of these surfaces and obtain some results about curvature conditions in [Formula: see text]. Moreover, the visualizations of projections of canal surfaces are presented. Lastly, we give the necessary and sufficient conditions for canal surfaces to become weak superconformal.

No abstract

In this paper, we deal with a tubular surface in Euclidean 4-space E 4. We study this surface with respect to its Gauss map. We show that there is not any tubular surface having harmonic Gauss map and we give the complete classification of tubular surface having pointwise 1-type Gauss map in Euclidean 4-space E 4 .