Lorentzian Darboux images of curves on spacelike surfaces in Lorentz–Minkowski 3-space

Abstract

For a regular curve on a spacelike surface in Lorentz–Minkowski [Formula: see text]-space, we have a moving frame along the curve which is called a Lorentzian Darboux frame. We introduce five special vector fields along the curve associated to the Lorentzian Darboux frame and investigate their singularities.