In this paper, we introduce a new version of tubular surfaces. We first define a new adapted
frame along a space curve, and denote this the q-frame. We then reveal the relationship …

Quaternions are more usable than three Euler angles in the three dimensional Euclidean
space. Thus, many laws in different fields can be given by the quaternions. In this study, we …

arXiv:1210.4185v1 [math.GM] 16 Oct 2012 Page 1 arXiv:1210.4185v1 [math.GM] 16 Oct 2012
Spinor Darboux Equations of Curves in Euclidean 3-Space Ilim Kisi1, Murat Tosun2 …

In this study, tubular surfaces that play an important role in technological designs in various
branches are examined for the case of the base curve is not satisfying the fundamental …

In this paper, we introduce a new frame which is called the B‐Darboux frame on a surface in
Euclidean 3‐space. We know that the parallel transport frame is derived from the Frenet …

This study aimed to introduce a new version of timelike tubular surfaces in E3 1. Firstly, we
define a new adapted frame along a spacelike space curve, and denote this the q-frame. We …

The resolution of the acceleration vector of rigid body moving along a space curve is well
known thanks to Siacci [1]. In this resolution, the acceleration vector is stated as the sum of …

In the present study, we deal with canal hypersurfaces according to extended Darboux
frame field of second kind in Euclidean 4-space (E4) and in this context, firstly we obtain the …

In this paper, we study tubular surfaces whose centers are semi-spherical indicatrices of a
spatial curve using the alternative moving frame {N, C, W}. The first objective is to examine …

Smarandache Curves According to q-Frame in Minkowski 3-Space Page 1 Conference
Proceedings of Science and Technology, 2(2), 2019, 110–118 Conference Proceeding of 17th …