Conference Paper

Smarandache Curves of Salkowski Curve According to Frenet Frame

Volume: 10 December 29, 2018
EN

Smarandache Curves of Salkowski Curve According to Frenet Frame

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.

Keywords

References

  1. Ali, A. T., Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics, 2(2010), 30–36.
  2. 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.
  3. Turgut, M., Yilmaz, S., Smarandache Curves in Minkowski Space-Time, International J.Math. Combin., 3(2008), 51–55.
  4. Salkowski, E., Zur Transformation von Raumkurven, Mathematische Annalen, 4(66)(1909), 517–557.
  5. Monterde, J., Salkowski curves revisited: A family of curves with constant curvature and non-constant torsion, Computer Aided GeometricDesign, 26(2009), 271–278.

Details

Primary Language

English

Subjects

-

Journal Section

Conference Paper

Publication Date

December 29, 2018

Submission Date

August 17, 2018

Acceptance Date

December 3, 2018

Published in Issue

Year 2018 Volume: 10

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. https://izlik.org/JA55BX96SM
AMA
1.Şenyurt S, Öztürk B. Smarandache Curves of Salkowski Curve According to Frenet Frame. TJMCS. 2018;10:190-201. https://izlik.org/JA55BX96SM
Chicago
Şenyurt, Süleyman, and Burak Öztürk. 2018. “Smarandache Curves of Salkowski Curve According to Frenet Frame”. Turkish Journal of Mathematics and Computer Science 10 (December): 190-201. https://izlik.org/JA55BX96SM.
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
[1]S. Şenyurt and B. Öztürk, “Smarandache Curves of Salkowski Curve According to Frenet Frame”, TJMCS, vol. 10, pp. 190–201, Dec. 2018, [Online]. Available: https://izlik.org/JA55BX96SM
ISNAD
Şenyurt, Süleyman - Öztürk, Burak. “Smarandache Curves of Salkowski Curve According to Frenet Frame”. Turkish Journal of Mathematics and Computer Science 10 (December 1, 2018): 190-201. https://izlik.org/JA55BX96SM.
JAMA
1.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, Dec. 2018, pp. 190-01, https://izlik.org/JA55BX96SM.
Vancouver
1.Süleyman Şenyurt, Burak Öztürk. Smarandache Curves of Salkowski Curve According to Frenet Frame. TJMCS [Internet]. 2018 Dec. 1;10:190-201. Available from: https://izlik.org/JA55BX96SM