Position vectors of a spacelike $W$-curve in Minkowski space $Bbb{E}^3_1$

摘要

In this paper, we study the position vectors of a spacelike $W$-curve (or a helix), i.e., curve with constant curvatures, with spacelike, timelike and null principal normal in the Minkowski 3-space $Bbb{E}^{3}_{1}$. We give some chracterizations for spacelike $W$- curves whose image lies on the pseudohyperbolical space $Bbb{H}^{2}_{0}$ and Lorentzian sphere $Bbb{S}^{2}_{1}$ by using the positions vectors of the curve.