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

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

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