Süleyman ŞENYURT, Yasin ALTUN, Ceyda CEVAHİR

On The Darboux Vector Belonging To Involute Curve A Different View

In this paper, we investigated special Smarandache curves in terms of Sabban frame drawn on the surface of the sphere by the unit Darboux vector of involute curve. We created Sabban frame belonging to this curve. It was explained Smarandache curves position vector is composed by Sabban vectors belonging to this curve. Then, we calculated geodesic curvatures of this Smarandache curves. Found results were expressed depending on the base curve. We also gave example belonging to the results found.

Keywords:

involute curve, Darboux vector Smarandache curves, Sabban frame, geodesic curvature,

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Mathematical Sciences and Applications E-Notes-Cover

ISSN: 2147-6268
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 2013
Yayıncı: -

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