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

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Turkish Journal of Mathematics and Computer Science
Volume:9
D- Smarandache Curves According to the Sabban Frame of the Spherical Indicatrix Curve

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

Authors : Süleyman ŞENYURT

Pages : 39-49

View : 46 | Download : 11

Publication Date : 2018-12-28

Article Type : Research Paper

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

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