Smarandache Curves of a Spacelike Curve lying on Unit dual Lo-rentzian Sphere

Smarandache Curves of a Spacelike Curve lying on Unit dual Lorentzian Sphere  In this paper, we give Darboux approximation for dual Smarandache curves of spacelike curve on unit dual Lorentzian sphere . Firstly, we define the types of dual Smarandache curves of a spacelike curve  lying on dual Lorentzian sphere . Then, we obtain the relationships between the dual curvatures of spacelike curve  and its dual Smarandache curves. Finally, we give an example for Smarandache curves of a spacelike curve on unit dual Lorentzian sphere .