Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2022, , 24 - 31, 30.06.2022
https://doi.org/10.47000/tjmcs.1007681

Öz

Kaynakça

  • Ekmekci, N., İlarslan, K., On Bertrand curves and their characterization, Differential Geometry Dynamical Systems, 3(2)(2001), 17-24.
  • Ergün, E., Bayram, E., Surface family with a common natural geodesic lift, International J.Math. Combin., 1(2016), 34-41.
  • Ergün, E., Çalışkan, M., The natural lift curve of the spherical indicatrix of a non-null curve in Minkowski 3-Space, International Mathematical Forum, 7(2012), 707-717.
  • Ergün, E., Çalışkan, M., On natural lift of a curve, Pure Mathematical Sciences, 2(2012), 81-85.
  • Ergün, E., Çalışkan, M., On the natural lift curve and the Bertrand mate, Journal of Science and Arts, 42(1)(2018), 75-94.
  • Karaca, E., Çalışkan, M., Ruled surfaces and tangent bundle of unit 2-sphere of natural lift curves, Gazi University Journal of Science, 33(2020), 751-759.
  • O'Neill, B., Semi Riemann Geometry, Academic Press, New York and London, 1983.
  • Önder, M., Uğurlu, H.H., Frenet frames and invariants of timelike ruled surfaces, Ain Shams Engineering Journal, 4(2013), 507-513.
  • Öztekin, H.B., Bektaş, M., On representation formulae for Bertrand curves in the Minkowski 3-space, Scientia Magna, 6(11)(2010), 89-96.
  • Ratcliffe, J.G., Foundations of Hyperbolic Manifolds, Springer-Verlag, New York, Inc., 1994.
  • Thorpe, J.A., Elementary Topics in Differential Geometry, Springer-Verlag, New York, Heidelberg-Berlin, 1979.
  • Walrave, J., Curves and Surfaces in Minkowski Space, K. U. Leuven Faculteit, Der Wetenschappen, 1995.

Bertrand Curves and B-Lift Curves in Lorentzian 3-Space

Yıl 2022, , 24 - 31, 30.06.2022
https://doi.org/10.47000/tjmcs.1007681

Öz

In this article, based on Thorpe's definition, we define a new curve called the B-lift curve in Lorentzian 3-space and examine the Frenet vectors of the B-lift curve. Furthermore, we examine the relationship between the Frenet vectors of the Bertrand curve and the Frenet vectors of the natural lift curve. Finally, we give an example on these results.

Kaynakça

  • Ekmekci, N., İlarslan, K., On Bertrand curves and their characterization, Differential Geometry Dynamical Systems, 3(2)(2001), 17-24.
  • Ergün, E., Bayram, E., Surface family with a common natural geodesic lift, International J.Math. Combin., 1(2016), 34-41.
  • Ergün, E., Çalışkan, M., The natural lift curve of the spherical indicatrix of a non-null curve in Minkowski 3-Space, International Mathematical Forum, 7(2012), 707-717.
  • Ergün, E., Çalışkan, M., On natural lift of a curve, Pure Mathematical Sciences, 2(2012), 81-85.
  • Ergün, E., Çalışkan, M., On the natural lift curve and the Bertrand mate, Journal of Science and Arts, 42(1)(2018), 75-94.
  • Karaca, E., Çalışkan, M., Ruled surfaces and tangent bundle of unit 2-sphere of natural lift curves, Gazi University Journal of Science, 33(2020), 751-759.
  • O'Neill, B., Semi Riemann Geometry, Academic Press, New York and London, 1983.
  • Önder, M., Uğurlu, H.H., Frenet frames and invariants of timelike ruled surfaces, Ain Shams Engineering Journal, 4(2013), 507-513.
  • Öztekin, H.B., Bektaş, M., On representation formulae for Bertrand curves in the Minkowski 3-space, Scientia Magna, 6(11)(2010), 89-96.
  • Ratcliffe, J.G., Foundations of Hyperbolic Manifolds, Springer-Verlag, New York, Inc., 1994.
  • Thorpe, J.A., Elementary Topics in Differential Geometry, Springer-Verlag, New York, Heidelberg-Berlin, 1979.
  • Walrave, J., Curves and Surfaces in Minkowski Space, K. U. Leuven Faculteit, Der Wetenschappen, 1995.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Anıl Altınkaya 0000-0003-2382-6596

Mustafa Çalışkan 0000-0003-1354-4763

Yayımlanma Tarihi 30 Haziran 2022
Yayımlandığı Sayı Yıl 2022

Kaynak Göster

APA Altınkaya, A., & Çalışkan, M. (2022). Bertrand Curves and B-Lift Curves in Lorentzian 3-Space. Turkish Journal of Mathematics and Computer Science, 14(1), 24-31. https://doi.org/10.47000/tjmcs.1007681
AMA Altınkaya A, Çalışkan M. Bertrand Curves and B-Lift Curves in Lorentzian 3-Space. TJMCS. Haziran 2022;14(1):24-31. doi:10.47000/tjmcs.1007681
Chicago Altınkaya, Anıl, ve Mustafa Çalışkan. “Bertrand Curves and B-Lift Curves in Lorentzian 3-Space”. Turkish Journal of Mathematics and Computer Science 14, sy. 1 (Haziran 2022): 24-31. https://doi.org/10.47000/tjmcs.1007681.
EndNote Altınkaya A, Çalışkan M (01 Haziran 2022) Bertrand Curves and B-Lift Curves in Lorentzian 3-Space. Turkish Journal of Mathematics and Computer Science 14 1 24–31.
IEEE A. Altınkaya ve M. Çalışkan, “Bertrand Curves and B-Lift Curves in Lorentzian 3-Space”, TJMCS, c. 14, sy. 1, ss. 24–31, 2022, doi: 10.47000/tjmcs.1007681.
ISNAD Altınkaya, Anıl - Çalışkan, Mustafa. “Bertrand Curves and B-Lift Curves in Lorentzian 3-Space”. Turkish Journal of Mathematics and Computer Science 14/1 (Haziran 2022), 24-31. https://doi.org/10.47000/tjmcs.1007681.
JAMA Altınkaya A, Çalışkan M. Bertrand Curves and B-Lift Curves in Lorentzian 3-Space. TJMCS. 2022;14:24–31.
MLA Altınkaya, Anıl ve Mustafa Çalışkan. “Bertrand Curves and B-Lift Curves in Lorentzian 3-Space”. Turkish Journal of Mathematics and Computer Science, c. 14, sy. 1, 2022, ss. 24-31, doi:10.47000/tjmcs.1007681.
Vancouver Altınkaya A, Çalışkan M. Bertrand Curves and B-Lift Curves in Lorentzian 3-Space. TJMCS. 2022;14(1):24-31.