Applied Mathematics and Computation, vol.218, no.11, pp.6391-6400, 2012 (SCI-Expanded)
In this paper, we studied quaternionic slant helices which we called semi-real quaternionic B 2 slant helix in four dimensional semi-Euclidean space E 2 4. 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 B 2 slant helix. And then we obtained some characterizations for semi-real quaternionic B 2 slant helix in the terms of the harmonic curvatures and the Darboux vector field D. © 2011 Elsevier Inc. All rights reserved.