Conference Paper
BibTex RIS Cite

Smarandache Curves of Salkowski Curve According to Frenet Frame

Year 2018, Volume: 10, 190 - 201, 29.12.2018

Abstract

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.

References

  • 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.
Year 2018, Volume: 10, 190 - 201, 29.12.2018

Abstract

References

  • 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.
There are 5 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Süleyman Şenyurt 0000-0003-1097-5541

Burak Öztürk

Publication Date December 29, 2018
Published in Issue Year 2018 Volume: 10

Cite

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. December 2018;10:190-201.
Chicago Şenyurt, Süleyman, and Burak Öztürk. “Smarandache Curves of Salkowski Curve According to Frenet Frame”. Turkish Journal of Mathematics and Computer Science 10, December (December 2018): 190-201.
EndNote Şenyurt S, Öztürk B (December 1, 2018) Smarandache Curves of Salkowski Curve According to Frenet Frame. Turkish Journal of Mathematics and Computer Science 10 190–201.
IEEE S. Şenyurt and B. Öztürk, “Smarandache Curves of Salkowski Curve According to Frenet Frame”, TJMCS, vol. 10, pp. 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 (December 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 and Burak Öztürk. “Smarandache Curves of Salkowski Curve According to Frenet Frame”. Turkish Journal of Mathematics and Computer Science, vol. 10, 2018, pp. 190-01.
Vancouver Şenyurt S, Öztürk B. Smarandache Curves of Salkowski Curve According to Frenet Frame. TJMCS. 2018;10:190-201.