On the quaternionic B-2 slant helices in the semi-Euclidean space E-2(4)
Citation
Kahraman, F., Gök, I., & Hacisalihoǧlu, H. H. (2012). On the quaternionic B 2 slant helices in the semi-euclidean space E 2 4. Applied Mathematics and Computation, 218(11), 6391-6400. doi:10.1016/j.amc.2011.12.007Abstract
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.