RECTIFYING DEVELOPABLE SURFACE OF TIMELIKE BIHARMONIC CURVE IN THE LORENTZIAN HEISENBERG GROUP HEIS

RECTIFYING DEVELOPABLE SURFACE OF TIMELIKE BIHARMONIC CURVE IN THE LORENTZIAN HEISENBERG GROUP HEIS

Talat Korpinar    Essin Turhan    

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Abstract

In this paper, we study in particular developable surfaces, a special type of ruled surface in the Lorentzian Heisenberg group Heis³. We find out explicit parametric equations of rectifying developable of timelike biharmonic curve in the Lorentzian Heisenberg group Heis³. Additionally, we illustrate three figures of our main theorem.

Keywords

Heisenberg group, biharmonic curve, helix, developable surface.