Directional Inextensible Flows of Curves by Quasi Frame

Abstract

In this paper, we construct a new method for directional inextensible flows of curves using the q-frame. With this new concept, we derive the necessary and sufficient condition for the given curve to be the inextensible flow. Moreover, we give some new characterizations for curvatures of a curve. Finally, we obtain new relations of q-frame in space.