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

Auteurs-es

  • Talat Körpınar Firat University Department of Mathematics
  • Essin Turhan Firat University Department of Mathematics

DOI :

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

Mots-clés :

Biharmonic curve, Heisenberg group, curvature, torsion

Résumé

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.

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Publié

2012-01-27

Numéro

Rubrique

Research Articles