D- Smarandache Curves According to the Sabban Frame of the Spherical Indicatrix Curve

Abstract

In this study, we first gave the Darboux vector according to the alternative frame. Then we  formed a Sabban frame of spherical indicatrix curve of D-  alternative vector defined by a differentiable curve. Then the geodesic curvature of this vector is calculated according to this frame. Finally we defined Smarandache curves generated by the  Sabban frame and give some characterizations of them. 

Keywords

• Sabban frame,alternative frame

References

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