Research Article

Smarandache Curves of Involute-Evolute Curve According to Frenet Frame

Volume: 4 Number: 1 January 31, 2023
EN

Smarandache Curves of Involute-Evolute Curve According to Frenet Frame

Abstract

In this paper, the invariants of the Smarandache curves, which consist of Frenet vectors of the involute curve, are calculated in terms of the evolute curve.

Keywords

References

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  2. Ali A.T., Special Smarandache curves in the euclidean space, International Journal of Mathematical Combinatorics, 2, 30-36, 2010.
  3. As E., Sarıoğlugil A., On the Bishop curvatures of involute-evolute curve couple in E3 , International Journal of Physical Sciences, 9(7), 140-145, 2014.
  4. Bektaş Ö., Yüce S., Special Smarandache curves according to Dardoux frame in Euclidean 3-space, Romanian Journal of Mathematics and Computer science, 3, 48-59, 2013.
  5. Bilici M., Çalışkan M., Some new notes on the involutes of the timelike curves in Minkowski 3-space, International Journal of Contemporary Mathematical Sciences, 6(41), 2019-2030, 2011.
  6. Ergüt M., Yılmaz S., Ünlütürk Y., Isotropic Smarandache curves in the complex 4-space, Honam Mathematical Journal, 40(1), 47-59, 2018.
  7. Hacısalihoğlu H.H., Differential Geometry (in Turkish), İnönü University, Malatya, 1983.
  8. Millman R.S., Parker G.D., Elements of Differential Geometry, Prentice-Hall Inc., Englewood Cliffs, 1977.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

January 31, 2023

Submission Date

August 1, 2022

Acceptance Date

January 16, 2023

Published in Issue

Year 2023 Volume: 4 Number: 1

APA
Sivas, S., Şenyurt, S., & Çalışkan, A. (2023). Smarandache Curves of Involute-Evolute Curve According to Frenet Frame. Fundamentals of Contemporary Mathematical Sciences, 4(1), 31-45. https://doi.org/10.54974/fcmathsci.1152564
AMA
1.Sivas S, Şenyurt S, Çalışkan A. Smarandache Curves of Involute-Evolute Curve According to Frenet Frame. FCMS. 2023;4(1):31-45. doi:10.54974/fcmathsci.1152564
Chicago
Sivas, Selin, Süleyman Şenyurt, and Abdussamet Çalışkan. 2023. “Smarandache Curves of Involute-Evolute Curve According to Frenet Frame”. Fundamentals of Contemporary Mathematical Sciences 4 (1): 31-45. https://doi.org/10.54974/fcmathsci.1152564.
EndNote
Sivas S, Şenyurt S, Çalışkan A (January 1, 2023) Smarandache Curves of Involute-Evolute Curve According to Frenet Frame. Fundamentals of Contemporary Mathematical Sciences 4 1 31–45.
IEEE
[1]S. Sivas, S. Şenyurt, and A. Çalışkan, “Smarandache Curves of Involute-Evolute Curve According to Frenet Frame”, FCMS, vol. 4, no. 1, pp. 31–45, Jan. 2023, doi: 10.54974/fcmathsci.1152564.
ISNAD
Sivas, Selin - Şenyurt, Süleyman - Çalışkan, Abdussamet. “Smarandache Curves of Involute-Evolute Curve According to Frenet Frame”. Fundamentals of Contemporary Mathematical Sciences 4/1 (January 1, 2023): 31-45. https://doi.org/10.54974/fcmathsci.1152564.
JAMA
1.Sivas S, Şenyurt S, Çalışkan A. Smarandache Curves of Involute-Evolute Curve According to Frenet Frame. FCMS. 2023;4:31–45.
MLA
Sivas, Selin, et al. “Smarandache Curves of Involute-Evolute Curve According to Frenet Frame”. Fundamentals of Contemporary Mathematical Sciences, vol. 4, no. 1, Jan. 2023, pp. 31-45, doi:10.54974/fcmathsci.1152564.
Vancouver
1.Selin Sivas, Süleyman Şenyurt, Abdussamet Çalışkan. Smarandache Curves of Involute-Evolute Curve According to Frenet Frame. FCMS. 2023 Jan. 1;4(1):31-45. doi:10.54974/fcmathsci.1152564

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