Research Article

An examination on N − D* partner curves with common principal normal and Darboux vector in E^3.

Volume: 6 Number: 2 September 30, 2021
EN

An examination on N − D* partner curves with common principal normal and Darboux vector in E^3.

Abstract

In this paper we have defined and examined curves with common principal normal and Darboux vectors ; if the principal normal vector of first curve and Darboux vector of second curve are linearly dependent, then first curve has been called N − D* curve, and the second curve is called N − D* partner curve. These new curves are called N − D* pair curves. Also we give the Frenet-Serret apparatus of the second curve based on the Frenet-Serret apparatus of first curve.

Keywords

References

  1. Gray, A. Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, p. 205, 1997.
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  3. Lipschutz MM. Schaum’s outline of theory and problems of differential geometry, 1969.
  4. Liu H, Wang F. Mannheim partner curves in 3-space. Journal of Geometry 88(1-2) 2008, 120 – 126.
  5. Schief WK. On the integrability of Bertrand curves and Razzaboni surfaces. Journal of Geometry and Physics, 45(1–2), 2003, 130–150.
  6. Kılıçoğlu, S, Şenyurt, S. An Examination on NP∗ Curves in E3. Turkish Journal of Mathematics and Computer Science, 12(1), 2020, 26–30.
  7. Kılıçoğlu, S, Şenyurt, S. On The Curves N − T ∗ N∗ in E3. Turkish Journal of Mathematics and Computer Science, 12(2), 2020, 161–165.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

September 30, 2021

Submission Date

September 6, 2021

Acceptance Date

October 12, 2021

Published in Issue

Year 1970 Volume: 6 Number: 2

APA
Şenyurt, S., & Kılıçoglu, Ş. (2021). An examination on N − D* partner curves with common principal normal and Darboux vector in E^3. Turkish Journal of Science, 6(2), 89-95. https://izlik.org/JA72BU35WR
AMA
1.Şenyurt S, Kılıçoglu Ş. An examination on N − D* partner curves with common principal normal and Darboux vector in E^3. TJOS. 2021;6(2):89-95. https://izlik.org/JA72BU35WR
Chicago
Şenyurt, Süleyman, and Şeyda Kılıçoglu. 2021. “An Examination on N − D* Partner Curves With Common Principal Normal and Darboux Vector in E^3”. Turkish Journal of Science 6 (2): 89-95. https://izlik.org/JA72BU35WR.
EndNote
Şenyurt S, Kılıçoglu Ş (September 1, 2021) An examination on N − D* partner curves with common principal normal and Darboux vector in E^3. Turkish Journal of Science 6 2 89–95.
IEEE
[1]S. Şenyurt and Ş. Kılıçoglu, “An examination on N − D* partner curves with common principal normal and Darboux vector in E^3”., TJOS, vol. 6, no. 2, pp. 89–95, Sept. 2021, [Online]. Available: https://izlik.org/JA72BU35WR
ISNAD
Şenyurt, Süleyman - Kılıçoglu, Şeyda. “An Examination on N − D* Partner Curves With Common Principal Normal and Darboux Vector in E^3”. Turkish Journal of Science 6/2 (September 1, 2021): 89-95. https://izlik.org/JA72BU35WR.
JAMA
1.Şenyurt S, Kılıçoglu Ş. An examination on N − D* partner curves with common principal normal and Darboux vector in E^3. TJOS. 2021;6:89–95.
MLA
Şenyurt, Süleyman, and Şeyda Kılıçoglu. “An Examination on N − D* Partner Curves With Common Principal Normal and Darboux Vector in E^3”. Turkish Journal of Science, vol. 6, no. 2, Sept. 2021, pp. 89-95, https://izlik.org/JA72BU35WR.
Vancouver
1.Süleyman Şenyurt, Şeyda Kılıçoglu. An examination on N − D* partner curves with common principal normal and Darboux vector in E^3. TJOS [Internet]. 2021 Sep. 1;6(2):89-95. Available from: https://izlik.org/JA72BU35WR