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

Year 2024, Volume: 12 Issue: 4, 169 - 177

Önder Gökmen Yıldız Hazer Usta

https://doi.org/10.36753/mathenot.1481075

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.

Keywords

Curvature flows, real quaternion, quaternionic curve

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