Research Article

BERTRAND PARTNER CURVES ACCORDING TO DARBOUX FRAME IN THE EUCLIDEAN 3-SPACE

Volume: 3 Number: 1 January 31, 2020
EN

BERTRAND PARTNER CURVES ACCORDING TO DARBOUX FRAME IN THE EUCLIDEAN 3-SPACE

Abstract

In this study, Bertrand partner curves are researched. Characterization of
Bertrand partner curves lying on different or the same two surfaces are examined according to Darboux
frame and some special curves that we obtain with them .

Keywords

References

  1. A. Sabuncuoğlu, Diferensiyel Geometri. Nobel Publication Distribution. Ankara, (2004).
  2. H. Hilmi Hacısalihğlu , Diferensiyel Geometri. ˙Inönü University Faculty of Arts and Sciences Publications. Malatya, (1983).
  3. H. Hilmi Hacısalihğlu , Diferensiyel Geometri I. Ankara University Publications. Ankara, (1998).
  4. J. Bertrand, M´emoire sur la th´eorie des courbes `a double courbure. Comptes Rendus 36; Journal de Math´ematiques Pures et Appliqu´ees. 15, 332–350, (1850).
  5. K. İlarslan, and N. K. Aslan, On Spacelike Bertrand Curve in Minkowski 3-Space. Konuralp Journal of Mathematics, 5, no. 1, 214-222, (2017).
  6. M. Kazaz, et all. Bertrand Partner D-Curves in the Euclidean 3-space E3 . Afyon Kocatepe Universty Journal of Science and Engineering. 16, 76-83, (2016).
  7. M. Masal, and A. Zeynep. Azak, 3 Boyutlu Oklid Uzayında Bertrand Eğriler ve Bishop Çatısı. ¨ Sakarya University Journal of the Institute of Science. 21, no. 6, 1140-1145, (2017).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

January 31, 2020

Submission Date

August 4, 2019

Acceptance Date

February 27, 2020

Published in Issue

Year 2020 Volume: 3 Number: 1

APA
Yıldırım, A., & Kaya, F. (2020). BERTRAND PARTNER CURVES ACCORDING TO DARBOUX FRAME IN THE EUCLIDEAN 3-SPACE. Journal of Universal Mathematics, 3(1), 53-58. https://izlik.org/JA36BC78BF
AMA
1.Yıldırım A, Kaya F. BERTRAND PARTNER CURVES ACCORDING TO DARBOUX FRAME IN THE EUCLIDEAN 3-SPACE. JUM. 2020;3(1):53-58. https://izlik.org/JA36BC78BF
Chicago
Yıldırım, Abdullah, and Feryat Kaya. 2020. “BERTRAND PARTNER CURVES ACCORDING TO DARBOUX FRAME IN THE EUCLIDEAN 3-SPACE”. Journal of Universal Mathematics 3 (1): 53-58. https://izlik.org/JA36BC78BF.
EndNote
Yıldırım A, Kaya F (January 1, 2020) BERTRAND PARTNER CURVES ACCORDING TO DARBOUX FRAME IN THE EUCLIDEAN 3-SPACE. Journal of Universal Mathematics 3 1 53–58.
IEEE
[1]A. Yıldırım and F. Kaya, “BERTRAND PARTNER CURVES ACCORDING TO DARBOUX FRAME IN THE EUCLIDEAN 3-SPACE”, JUM, vol. 3, no. 1, pp. 53–58, Jan. 2020, [Online]. Available: https://izlik.org/JA36BC78BF
ISNAD
Yıldırım, Abdullah - Kaya, Feryat. “BERTRAND PARTNER CURVES ACCORDING TO DARBOUX FRAME IN THE EUCLIDEAN 3-SPACE”. Journal of Universal Mathematics 3/1 (January 1, 2020): 53-58. https://izlik.org/JA36BC78BF.
JAMA
1.Yıldırım A, Kaya F. BERTRAND PARTNER CURVES ACCORDING TO DARBOUX FRAME IN THE EUCLIDEAN 3-SPACE. JUM. 2020;3:53–58.
MLA
Yıldırım, Abdullah, and Feryat Kaya. “BERTRAND PARTNER CURVES ACCORDING TO DARBOUX FRAME IN THE EUCLIDEAN 3-SPACE”. Journal of Universal Mathematics, vol. 3, no. 1, Jan. 2020, pp. 53-58, https://izlik.org/JA36BC78BF.
Vancouver
1.Abdullah Yıldırım, Feryat Kaya. BERTRAND PARTNER CURVES ACCORDING TO DARBOUX FRAME IN THE EUCLIDEAN 3-SPACE. JUM [Internet]. 2020 Jan. 1;3(1):53-8. Available from: https://izlik.org/JA36BC78BF