On the Quaternionic Normal Curves in the Semi-Euclidean Space E4

In this paper, we define the semi-real quaternionic normal curves in four dimensional semi-Euclidean space E⁴₂. We obtain some characterizations of semi-real quaternionic normal curves in terms of their curvature functions. Moreover, we give necessary and sufficient condition for a semi-real quaternionic curve to be a semi-real quaternionic normal curves in E⁴₂.