Smarandache curves according to Sabban frame for Darboux vector of Mannheim partner curve

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Şenyurt S., Altun Y., Cevahir C.

2nd International Conference on Advances in Natural and Applied Sciences, ICANAS 2017, Antalya, Türkiye, 18 - 21 Nisan 2017, cilt.1833 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1833
  • Doi Numarası: 10.1063/1.4981672
  • Basıldığı Şehir: Antalya
  • Basıldığı Ülke: Türkiye
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

In this paper, we investigated special Smarandache curves belonging to Sabban frame drawn on the surface of the sphere by Darboux vector of Mannheim partner curve. We created Sabban frame belonging to this curve. It was explained Smarandache curves position vector is consisted by Sabban vectors belonging to this curve. Then, we calculated geodesic curvatures of this Smarandache curves. Found results were expressed depending on the Mannheim curve.