Biminimal general helix in the Heisenberg group $Heis^{3}$
Kragujevac Journal of Mathematics, Tome 34 (2010), p. 51
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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 $Heis^{3}$.
Classification :
58A10 58E20
Keywords: Heisenberg group, Biminimal curve, General helix
Keywords: Heisenberg group, Biminimal curve, General helix
@article{KJM_2010_34_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 },
year = {2010},
volume = {34},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2010_34_a4/}
}
Essin Turhan; Talat Körpinar. Biminimal general helix in the Heisenberg group $Heis^{3}$. Kragujevac Journal of Mathematics, Tome 34 (2010), p. 51 . http://geodesic.mathdoc.fr/item/KJM_2010_34_a4/