Abstract

In this paper, we studied quaternion valued functions and quaternionic inclined curves in the semi-Euclidean space E 2 4. We give Serret–Frenet formulae for the quaternionic curve in the semi-Euclidean space E 2 4. Then we define quaternionic inclined curves and harmonic curvatures for the quaternionic curves in the semi-Euclidean space E 2 4. In addition, we obtained some characterizations for the quaternionic inclined curves in the terms of the harmonic curvatures.

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