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Year 2021, Volume: 6 Issue: 2, 89 - 95, 30.09.2021

Süleyman Şenyurt Şeyda Kılıçoglu

Abstract

References

  • Gray, A. Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, p. 205, 1997.
  • Hacisalihoğlu HH. Diferensiyel Geometri, Cilt 1, I´no¨nu¨ U¨ niversitesi Yayinlari, Malatya, 1994.
  • Lipschutz MM. Schaum’s outline of theory and problems of differential geometry, 1969.
  • Liu H, Wang F. Mannheim partner curves in 3-space. Journal of Geometry 88(1-2) 2008, 120 – 126.
  • Schief WK. On the integrability of Bertrand curves and Razzaboni surfaces. Journal of Geometry and Physics, 45(1–2), 2003, 130–150.
  • Kılıçoğlu, S, Şenyurt, S. An Examination on NP∗ Curves in E3. Turkish Journal of Mathematics and Computer Science, 12(1), 2020, 26–30.
  • Kılıçoğlu, S, Şenyurt, S. On The Curves N − T ∗ N∗ in E3. Turkish Journal of Mathematics and Computer Science, 12(2), 2020, 161–165.

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

Year 2021, Volume: 6 Issue: 2, 89 - 95, 30.09.2021

Süleyman Şenyurt Şeyda Kılıçoglu

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

Darboux vector Offset curves Mannheim curves Bertrand pairs

References

  • Gray, A. Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, p. 205, 1997.
  • Hacisalihoğlu HH. Diferensiyel Geometri, Cilt 1, I´no¨nu¨ U¨ niversitesi Yayinlari, Malatya, 1994.
  • Lipschutz MM. Schaum’s outline of theory and problems of differential geometry, 1969.
  • Liu H, Wang F. Mannheim partner curves in 3-space. Journal of Geometry 88(1-2) 2008, 120 – 126.
  • Schief WK. On the integrability of Bertrand curves and Razzaboni surfaces. Journal of Geometry and Physics, 45(1–2), 2003, 130–150.
  • Kılıçoğlu, S, Şenyurt, S. An Examination on NP∗ Curves in E3. Turkish Journal of Mathematics and Computer Science, 12(1), 2020, 26–30.
  • Kılıçoğlu, S, Şenyurt, S. On The Curves N − T ∗ N∗ in E3. Turkish Journal of Mathematics and Computer Science, 12(2), 2020, 161–165.
There are 7 citations in total.

Details

Primary Language English
Journal Section Volume VI Issue II
Authors

Süleyman Şenyurt 0000-0003-1097-5541

Şeyda Kılıçoglu 0000-0003-0252-1574

Publication Date September 30, 2021
Published in Issue Year 2021 Volume: 6 Issue: 2

Cite

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.
AMA Şenyurt S, Kılıçoglu Ş. An examination on N − D* partner curves with common principal normal and Darboux vector in E^3. TJOS. September 2021;6(2):89-95.
Chicago 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 6, no. 2 (September 2021): 89-95.
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 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, 2021.
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 2021), 89-95.
JAMA 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, 2021, pp. 89-95.
Vancouver 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.
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