On the quaternionic B-2 slant helices in the semi-Euclidean space E-2(4)

Abstract

In this paper, we studied quaternionic slant helices which we called semi-real quaternionic B2 slant helix in four dimensional semi-Euclidean space E4 2. Also we define the harmonic curvature functions for semi-real quaternionic curves and we give a vector field D which we call Darboux quaternion for semi-real quaternionic B2 slant helix. And then we obtained some characterizations for semi-real quaternionic B2 slant helix in the terms of the har- monic curvatures and the Darboux vector field D.