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

Abstract

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 .

Keywords

• Darboux approach, E. Study Mapping, Smarandache curve, Unit dual Lorentzian sphere.

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