Some characterizations of non-null rectifying curves in dual Lorentzian 3-space $\mathbb{D}_{1}^{3}$

Abstract

This paper gives several properties and characterization of non-null rectifying curves in dual Lorentzian 3-space $\mathbb{D% }_{1}^{3}$. In considering a causal character of a dual curve we give some parameterization of rectifying dual curves, and a dual differential equation of third order is constructed for every non-null dual curve. Then several well-known characterizations of spherical, normal and rectifying dual curves are consequences of this differential equation.

Keywords

• serret-frenet formulae
• rectifying dual curve
• dual helices