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Smarandache Curves of Salkowski Curve According to Frenet Frame

Yıl 2018, Cilt: 10, 190 - 201, 29.12.2018

Öz

In this paper, when the Frenet vectors of Salkowski curve are taken as the position vectors, the
curvature and the torsion of Smarandache curves are calculated. These values are expressed depending upon the
Salkowski curve.

Kaynakça

  • Ali, A. T., Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics, 2(2010), 30–36.
  • Bektaş, Ö., Yüce, S., Önder, M., Special Smarandache Curves According to Dardoux Frame in Euclidean 3-Space, Romanian Journal ofMathematics and Computer Science, 3(1)(2013), 48–59.
  • Turgut, M., Yilmaz, S., Smarandache Curves in Minkowski Space-Time, International J.Math. Combin., 3(2008), 51–55.
  • Salkowski, E., Zur Transformation von Raumkurven, Mathematische Annalen, 4(66)(1909), 517–557.
  • Monterde, J., Salkowski curves revisited: A family of curves with constant curvature and non-constant torsion, Computer Aided GeometricDesign, 26(2009), 271–278.
Yıl 2018, Cilt: 10, 190 - 201, 29.12.2018

Öz

Kaynakça

  • Ali, A. T., Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics, 2(2010), 30–36.
  • Bektaş, Ö., Yüce, S., Önder, M., Special Smarandache Curves According to Dardoux Frame in Euclidean 3-Space, Romanian Journal ofMathematics and Computer Science, 3(1)(2013), 48–59.
  • Turgut, M., Yilmaz, S., Smarandache Curves in Minkowski Space-Time, International J.Math. Combin., 3(2008), 51–55.
  • Salkowski, E., Zur Transformation von Raumkurven, Mathematische Annalen, 4(66)(1909), 517–557.
  • Monterde, J., Salkowski curves revisited: A family of curves with constant curvature and non-constant torsion, Computer Aided GeometricDesign, 26(2009), 271–278.
Toplam 5 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Makaleler
Yazarlar

Süleyman Şenyurt 0000-0003-1097-5541

Burak Öztürk

Yayımlanma Tarihi 29 Aralık 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 10

Kaynak Göster

APA Şenyurt, S., & Öztürk, B. (2018). Smarandache Curves of Salkowski Curve According to Frenet Frame. Turkish Journal of Mathematics and Computer Science, 10, 190-201.
AMA Şenyurt S, Öztürk B. Smarandache Curves of Salkowski Curve According to Frenet Frame. TJMCS. Aralık 2018;10:190-201.
Chicago Şenyurt, Süleyman, ve Burak Öztürk. “Smarandache Curves of Salkowski Curve According to Frenet Frame”. Turkish Journal of Mathematics and Computer Science 10, Aralık (Aralık 2018): 190-201.
EndNote Şenyurt S, Öztürk B (01 Aralık 2018) Smarandache Curves of Salkowski Curve According to Frenet Frame. Turkish Journal of Mathematics and Computer Science 10 190–201.
IEEE S. Şenyurt ve B. Öztürk, “Smarandache Curves of Salkowski Curve According to Frenet Frame”, TJMCS, c. 10, ss. 190–201, 2018.
ISNAD Şenyurt, Süleyman - Öztürk, Burak. “Smarandache Curves of Salkowski Curve According to Frenet Frame”. Turkish Journal of Mathematics and Computer Science 10 (Aralık 2018), 190-201.
JAMA Şenyurt S, Öztürk B. Smarandache Curves of Salkowski Curve According to Frenet Frame. TJMCS. 2018;10:190–201.
MLA Şenyurt, Süleyman ve Burak Öztürk. “Smarandache Curves of Salkowski Curve According to Frenet Frame”. Turkish Journal of Mathematics and Computer Science, c. 10, 2018, ss. 190-01.
Vancouver Şenyurt S, Öztürk B. Smarandache Curves of Salkowski Curve According to Frenet Frame. TJMCS. 2018;10:190-201.