New versions of q-surface pencil in Euclidean 3-space

Aziz Yazla, Muhammed T. Sariaydin

In this paper, the q-surface pencil is studied in Euclidean 3-space. By using q-frame in Euclidean space, Firstly, we define q-surface pencil. Then, we give the necessary and sufficient condition for a curve to be a geodesic curve and to be an asymptotic curve on a q-surface pencil. Then, we study this subject for an offset q-surface pencil. 

Tbilisi Mathematical Journal, Special Issue (IECMSA-2019), pp. 1-10