Inextensible Flow of Quaternionic Curves According to Type 2-Quaternionic Frame in the Euclidean Space

Abstract

In this paper, we investigate inextensible flows of quaternionic curve according to Type 2-Quaternionic frame. We give necessary and sufficient conditions for inextensible flow of quaternionic curves. Moreover, we obtain evolution equations of the Frenet frame and curvatures according to Type 2-Quaternionic frame.