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

Yıl 2018, Cilt: 9, 39 - 49, 28.12.2018

Öz

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. 

Kaynakça

  • Ali, A. T., Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics, 2(2010), 30–36.
  • Bektaş, O., Yüce, S.,Special Smarandache Curves According to Darboux Frame in Euclidean 3- Space, Romanian Journal of Mathematicsand Computer Science, 3(1)(2013), 48–59.
  • Do Carmo, M. P., Differential Geometry of Curves and Surfaces, Prentice Hall, Englewood Cliffs, NJ, 1976.
  • Kaya, O., Önder M., New Partner Curves In The Euclidean 3-Space E3, International Journal of Geometry, 6(2)(2017), 41–50.
  • Taşköprü, K., Tosun, M., Smarandache curves on S 2 , Boletim da Sociedade Paranaense de Matematica 3 Srie.,32 (1)(2014), 51–59.
  • Turgut, M., Yılmaz S., Smarandache Curves in Minkowski Space-time, International J. Math. Combin., 3(2008), 51–55.
Yıl 2018, Cilt: 9, 39 - 49, 28.12.2018

Öz

Kaynakça

  • Ali, A. T., Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics, 2(2010), 30–36.
  • Bektaş, O., Yüce, S.,Special Smarandache Curves According to Darboux Frame in Euclidean 3- Space, Romanian Journal of Mathematicsand Computer Science, 3(1)(2013), 48–59.
  • Do Carmo, M. P., Differential Geometry of Curves and Surfaces, Prentice Hall, Englewood Cliffs, NJ, 1976.
  • Kaya, O., Önder M., New Partner Curves In The Euclidean 3-Space E3, International Journal of Geometry, 6(2)(2017), 41–50.
  • Taşköprü, K., Tosun, M., Smarandache curves on S 2 , Boletim da Sociedade Paranaense de Matematica 3 Srie.,32 (1)(2014), 51–59.
  • Turgut, M., Yılmaz S., Smarandache Curves in Minkowski Space-time, International J. Math. Combin., 3(2008), 51–55.
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Makaleler
Yazarlar

Süleyman Şenyurt 0000-0003-1097-5541

Yayımlanma Tarihi 28 Aralık 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 9

Kaynak Göster

APA Şenyurt, S. (2018). D- Smarandache Curves According to the Sabban Frame of the Spherical Indicatrix Curve. Turkish Journal of Mathematics and Computer Science, 9, 39-49.
AMA Şenyurt S. D- Smarandache Curves According to the Sabban Frame of the Spherical Indicatrix Curve. TJMCS. Aralık 2018;9:39-49.
Chicago Şenyurt, Süleyman. “D- Smarandache Curves According to the Sabban Frame of the Spherical Indicatrix Curve”. Turkish Journal of Mathematics and Computer Science 9, Aralık (Aralık 2018): 39-49.
EndNote Şenyurt S (01 Aralık 2018) D- Smarandache Curves According to the Sabban Frame of the Spherical Indicatrix Curve. Turkish Journal of Mathematics and Computer Science 9 39–49.
IEEE S. Şenyurt, “D- Smarandache Curves According to the Sabban Frame of the Spherical Indicatrix Curve”, TJMCS, c. 9, ss. 39–49, 2018.
ISNAD Şenyurt, Süleyman. “D- Smarandache Curves According to the Sabban Frame of the Spherical Indicatrix Curve”. Turkish Journal of Mathematics and Computer Science 9 (Aralık 2018), 39-49.
JAMA Şenyurt S. D- Smarandache Curves According to the Sabban Frame of the Spherical Indicatrix Curve. TJMCS. 2018;9:39–49.
MLA Şenyurt, Süleyman. “D- Smarandache Curves According to the Sabban Frame of the Spherical Indicatrix Curve”. Turkish Journal of Mathematics and Computer Science, c. 9, 2018, ss. 39-49.
Vancouver Şenyurt S. D- Smarandache Curves According to the Sabban Frame of the Spherical Indicatrix Curve. TJMCS. 2018;9:39-4.