Geodesic
Biminimal general helix in the Heisenberg group $Heis^{3}$
Kragujevac Journal of Mathematics, Tome 34 (2010) no. 1 
Essin Turhan; Talat Körpinar. Biminimal general helix in the Heisenberg group $Heis^{3}$. Kragujevac Journal of Mathematics, Tome 34 (2010) no. 1. http://geodesic.mathdoc.fr/item/KJM_2010_34_1_a4/
@article{KJM_2010_34_1_a4,
     author = {Essin Turhan and Talat K\"orpinar},
     title = {Biminimal general helix in the {Heisenberg} group $Heis^{3}$},
     journal = {Kragujevac Journal of Mathematics},
     pages = {51 - 60},
     year = {2010},
     volume = {34},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/KJM_2010_34_1_a4/}
}
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Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper, we study biminimal curves and characterize non-geodesic biminimal general helix in the Heisenberg group $Heis^{3}$. We show that non-geodesic biminimal general helix are biharmonic curves. Morover, we obtain the position vectors of biminimal general helix in the Heisenberg group $Heis^{3}$.