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http://dx.doi.org/10.4134/CKMS.c170376

BIHARMONIC SPACELIKE CURVES IN LORENTZIAN HEISENBERG SPACE  

Lee, Ji-Eun (Institute of Basic Science Chonnam National University)
Publication Information
Communications of the Korean Mathematical Society / v.33, no.4, 2018 , pp. 1309-1320 More about this Journal
Abstract
In this paper, we show that proper biharmonic spacelike curve ${\gamma}$ in Lorentzian Heisenberg space (${\mathbb{H}}_3$, g) is pseudo-helix with ${\kappa}^2-{\tau}^2=-1+4{\eta}(B)^2$. Moreover, ${\gamma}$ has the spacelike normal vector field and is a slant curve. Finally, we find the parametric equations of them.
Keywords
slant curves; biharmonic curves; Lorentzian Heisenberg space;
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