Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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BIHARMONIC SPACELIKE CURVES IN LORENTZIAN HEISENBERG SPACE

  • Lee, Ji-Eun (Institute of Basic Science Chonnam National University)
  • Received : 2017.09.07
  • Accepted : 2018.03.09
  • Published : 2018.10.31
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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.

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References

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