Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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A New Kind of Slant Helix in Lorentzian (n + 2)- Spaces

  • Ates, Fatma (Department of Mathematics Faculty of Science, Ankara University) ;
  • Gok, Ismail (Department of Mathematics Faculty of Science, Ankara University) ;
  • Ekmekci, Faik Nejat (Department of Mathematics Faculty of Science, Ankara University)
  • Received : 2015.11.26
  • Accepted : 2016.05.04
  • Published : 2016.09.23
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Abstract

In this paper, we introduce a new kind of slant helix for null curves called null $W_n$-slant helix and we give a definition of new harmonic curvature functions of a null curve in terms of $W_n$ in (n + 2)-dimensional Lorentzian space $M^{n+2}_1$ (for n > 3). Also, we obtain a characterization such as: "The curve ${\alpha}$ s a null $W_n$-slant helix ${\Leftrightarrow}H^{\prime}_n-k_1H_{n-1}-k_2H_{n-3}=0$" where $H_n,H_{n-1}$ and $H_{n-3}$ are harmonic curvature functions and $k_1,k_2$ are the Cartan curvature functions of the null curve ${\alpha}$.

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References

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