We define harmonic curves and inclined curves for dual split quaternionic curves. And then, we give some characterizations for dual split quaternionic inclined curves by means of the harmonic curvatures.
In this study, we define null quaternionic Bertrand curves in ℝ³_{v} for a null quaternionic curve, which has a single non-zero, constant Cartan curvature τ. We also prove that if a null quaternionic curve with non-zero curvatures in ℝ³_{v} is a null quaternionic Bertrand curve, then it is a null quaternionic helix.
In this paper, we define the harmonic curvature functions for dual quaternionic curves. Moreover, we also study some characterizations for dual quaternionic slant helices according to dual quaternionic frame.
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.