[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2016.56.3.1003

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)

Publication Information

Kyungpook Mathematical Journal / v.56, no.3, 2016 , pp. 1003-1016 More about this Journal

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 ${\alpha}$ .

Keywords

Null curve; slant helices; Harmonic curvature functions; Lorentzian (n + 2)-space;

Citations & Related Records

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