On the quaternionic inclined curves in the semi-Euclidean space E24

摘要

In this paper, we studied quaternion valued functions and quaternionic inclined curves in the semi-Euclidean space E24. We give Serret–Frenet formulae for the quaternionic curve in the semi-Euclidean space E24. Then we define quaternionic inclined curves and harmonic curvatures for the quaternionic curves in the semi-Euclidean space E24. In addition, we obtained some characterizations for the quaternionic inclined curves in the terms of the harmonic curvatures.