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

摘要

For a regular curve on a spacelike surface in Lorentz-Minkowski $3$-space, wehave a moving frame along the curve which is called a Lorentzian Darboux frame.We introduce five special vector fields along the curve associated to theLorentzian Darboux frame and investigate their singularities.