D-tangent surfaces of timelike biharmonic D-helices according to Darboux frame on non-degenerate timelike surfaces in the Lorentzian Heisenberg group H

Abstract

In this paper, we study D-tangent surfaces of timelike biharmonic D-helices according to Darboux frame on non-degenerate timelike surfaces in the Lorentzian Heisenberg group H. We obtain parametric equation D-tangent surfaces of timelike biharmonic D-helices in the Lorentzian Heisenberg group H. Moreover, we illustrate the figure of our main theorem.

Keywords

• D-Biharmonic curve
• D-tangent surfaces
• Darboux frame
• Heisenberg group