Abstract
In this paper we introduce the notion of pseudo-spherical normal Darboux images of curves on a timelike surface in three dimensional Lorentz–Minkowski space. We investigate the singularities and geometric properties of these pseudo-spherical normal Darboux images. Furthermore, we investigate the relation of the de Sitter and of the hyperbolic normal Darboux images of a spacelike curve in S 1 2 with the lightlike surface along this spacelike curve.
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