Quaternionic W-curves in the semi-Euclidean spaces

Abstract

In this paper, the position vector of the semi-real spatial quaternionic W-curve in E₁³ and the position vector of the semi-real quaternionic W-curve in E₂⁴ are given and we obtain some characterizations for the semi-real spatial quaternionic Wcurve in E₁³ and the semi-real quaternionic W-curve in E₂⁴ by using position vectors. Also, we characterize unit semi-real quaternionic curves with respect to second curvature k(s) and third curvature (r − ε_tε_T ε_N1K)(s).