BIHARMONIC S-CURVES ACCORDING TO SABBAN FRAME IN HEISENBERG GROUP Heis³

Abstract

In this paper, we study biharmonic curves accordig to Sabban frame in the Heisenberg group Heis³. We characterize the biharmonic curves in terms of their geodesic curvature and we prove that all of biharmonic curves are helices in the Heisenberg group Heis³. Finally, we find out their explicit parametric equations according to Sabban Frame.

Keywords

• Biharmonic curve
• Heisenberg group
• curvature
• torsion.