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Year 2020, Volume: 3 Issue: 1, 53 - 58, 31.01.2020

Abstract

References

  • A. Sabuncuoğlu, Diferensiyel Geometri. Nobel Publication Distribution. Ankara, (2004).
  • H. Hilmi Hacısalihğlu , Diferensiyel Geometri. ˙Inönü University Faculty of Arts and Sciences Publications. Malatya, (1983).
  • H. Hilmi Hacısalihğlu , Diferensiyel Geometri I. Ankara University Publications. Ankara, (1998).
  • 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).
  • K. İlarslan, and N. K. Aslan, On Spacelike Bertrand Curve in Minkowski 3-Space. Konuralp Journal of Mathematics, 5, no. 1, 214-222, (2017).
  • 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).
  • 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).

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

Year 2020, Volume: 3 Issue: 1, 53 - 58, 31.01.2020

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 .

References

  • A. Sabuncuoğlu, Diferensiyel Geometri. Nobel Publication Distribution. Ankara, (2004).
  • H. Hilmi Hacısalihğlu , Diferensiyel Geometri. ˙Inönü University Faculty of Arts and Sciences Publications. Malatya, (1983).
  • H. Hilmi Hacısalihğlu , Diferensiyel Geometri I. Ankara University Publications. Ankara, (1998).
  • 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).
  • K. İlarslan, and N. K. Aslan, On Spacelike Bertrand Curve in Minkowski 3-Space. Konuralp Journal of Mathematics, 5, no. 1, 214-222, (2017).
  • 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).
  • 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).
There are 7 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Abdullah Yıldırım 0000-0002-6579-3799

Feryat Kaya 0000-0001-7725-0479

Publication Date January 31, 2020
Submission Date August 4, 2019
Acceptance Date February 27, 2020
Published in Issue Year 2020 Volume: 3 Issue: 1

Cite

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.
AMA Yıldırım A, Kaya F. BERTRAND PARTNER CURVES ACCORDING TO DARBOUX FRAME IN THE EUCLIDEAN 3-SPACE. JUM. January 2020;3(1):53-58.
Chicago Yıldırım, Abdullah, and Feryat Kaya. “BERTRAND PARTNER CURVES ACCORDING TO DARBOUX FRAME IN THE EUCLIDEAN 3-SPACE”. Journal of Universal Mathematics 3, no. 1 (January 2020): 53-58.
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 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, 2020.
ISNAD Yıldırım, Abdullah - Kaya, Feryat. “BERTRAND PARTNER CURVES ACCORDING TO DARBOUX FRAME IN THE EUCLIDEAN 3-SPACE”. Journal of Universal Mathematics 3/1 (January 2020), 53-58.
JAMA 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, 2020, pp. 53-58.
Vancouver Yıldırım A, Kaya F. BERTRAND PARTNER CURVES ACCORDING TO DARBOUX FRAME IN THE EUCLIDEAN 3-SPACE. JUM. 2020;3(1):53-8.