Biharmonic S-curves according to Sabban frame in Heisenberg group Heis³

Talat KÃ¶rpÄ±nar; Essin Turhan

doi:10.5269/bspm.v31i1.15761

Biharmonic S-curves according to Sabban frame in Heisenberg group Heis³

Authors

Talat KÃ¶rpÄ±nar Firat University Department of Mathematics
Essin Turhan Firat University Department of Mathematics

DOI:

https://doi.org/10.5269/bspm.v31i1.15761

Keywords:

Biharmonic curve, Heisenberg group, curvature, torsion

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.