On characterization of spacelike dual biharmonic curves in dual Lorentzian Heisenberg group D-Heis3(3)

Abstract

In this paper, we study spacelike dual biharmonic curves. We characterize spacelike dual biharmonic curves in terms of their curvature and torsion in the Lorentzian dual Heisenberg group D-Heis3(3). We give necessary and sufficient conditions for spacelike dual biharmonic curves in the Lorentzian dual Heisenberg group D-Heis3(3). Therefore, we prove that all spacelike dual biharmonic curves are spacelike dual helix. Moreover, we give their explicit parametrizations of spacelike dual biharmonic curves. Finally, we illustrate our main results in Figs. 1 and 2.