Araştırma Makalesi
BibTex RIS Kaynak Göster

On Slant Helices And Manheim Curves in E^3

Yıl 2020, Cilt: 8 Sayı: 2, 42 - 47, 15.10.2020
https://doi.org/10.36753/mathenot.742338

Öz

In this paper, the equation of the ones that provide the Mannheim curve feature in slant helices have been
obtained and the intrinsic equation of Mannheim curves have been given for the first time.
..................................................................................................................................................................................................................................



..................................................................................................................................................................................................................................


Kaynakça

  • [1] Menninger, A.: Characterization of the Slant helix as successor curve of the General helix, International Electronic Journal of Geometry. 7(2), 84-91 (2014).
  • [2] Orbay, K., and Kasap, E.: On Mannheim partner curves in $E^3$, International Journal of Physical Science. 4(5), 261-264 (2009).
  • [3] Wang, F., and Liu, H.: Mannheim partner curves in 3-Euclidean space, Mathematics in Practice and Theory. 37(1), 141-143 (2007).
  • [4] Liu, H., and Wang, F.: Mannheim partner curves in 3-space, Journal of Geometry. 88(1-2), 120-126 (2008). [5] Matsuda H., Yorozu, S.: On generalized Mannheim curves in Euclidean 4-space, Nihonkai Mathematical Journal. 20(1), 33-56 (2009).
  • [6] Ozkaldi, S., Ilarslan, K., Yayli, Y.: On mannheim partner curves in dual Lorentzian space, Hacettepe Journal of Mathematics and Statistics. 40(5), 649-661 (2011).
  • [7] Ozkaldi, S., Ilarslan, K., Yayli, Y.: On Mannheim partner curves in Dual space, An. St. Univ. Ovidius Constanta. 17(2), 131-142 (2009).
  • [8] Eisenhart, L. P.: A Treatise on the Differential Geometry of Curves and Surfaces (Dover Edition), Dover Publication, (1960).
Yıl 2020, Cilt: 8 Sayı: 2, 42 - 47, 15.10.2020
https://doi.org/10.36753/mathenot.742338

Öz

Kaynakça

  • [1] Menninger, A.: Characterization of the Slant helix as successor curve of the General helix, International Electronic Journal of Geometry. 7(2), 84-91 (2014).
  • [2] Orbay, K., and Kasap, E.: On Mannheim partner curves in $E^3$, International Journal of Physical Science. 4(5), 261-264 (2009).
  • [3] Wang, F., and Liu, H.: Mannheim partner curves in 3-Euclidean space, Mathematics in Practice and Theory. 37(1), 141-143 (2007).
  • [4] Liu, H., and Wang, F.: Mannheim partner curves in 3-space, Journal of Geometry. 88(1-2), 120-126 (2008). [5] Matsuda H., Yorozu, S.: On generalized Mannheim curves in Euclidean 4-space, Nihonkai Mathematical Journal. 20(1), 33-56 (2009).
  • [6] Ozkaldi, S., Ilarslan, K., Yayli, Y.: On mannheim partner curves in dual Lorentzian space, Hacettepe Journal of Mathematics and Statistics. 40(5), 649-661 (2011).
  • [7] Ozkaldi, S., Ilarslan, K., Yayli, Y.: On Mannheim partner curves in Dual space, An. St. Univ. Ovidius Constanta. 17(2), 131-142 (2009).
  • [8] Eisenhart, L. P.: A Treatise on the Differential Geometry of Curves and Surfaces (Dover Edition), Dover Publication, (1960).
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Alper Çay 0000-0002-3457-0576

Yusuf Yaylı 0000-0003-4398-3855

Yayımlanma Tarihi 15 Ekim 2020
Gönderilme Tarihi 25 Mayıs 2020
Kabul Tarihi 10 Ekim 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 8 Sayı: 2

Kaynak Göster

APA Çay, A., & Yaylı, Y. (2020). On Slant Helices And Manheim Curves in E^3. Mathematical Sciences and Applications E-Notes, 8(2), 42-47. https://doi.org/10.36753/mathenot.742338
AMA Çay A, Yaylı Y. On Slant Helices And Manheim Curves in E^3. Math. Sci. Appl. E-Notes. Ekim 2020;8(2):42-47. doi:10.36753/mathenot.742338
Chicago Çay, Alper, ve Yusuf Yaylı. “On Slant Helices And Manheim Curves in E^3”. Mathematical Sciences and Applications E-Notes 8, sy. 2 (Ekim 2020): 42-47. https://doi.org/10.36753/mathenot.742338.
EndNote Çay A, Yaylı Y (01 Ekim 2020) On Slant Helices And Manheim Curves in E^3. Mathematical Sciences and Applications E-Notes 8 2 42–47.
IEEE A. Çay ve Y. Yaylı, “On Slant Helices And Manheim Curves in E^3”, Math. Sci. Appl. E-Notes, c. 8, sy. 2, ss. 42–47, 2020, doi: 10.36753/mathenot.742338.
ISNAD Çay, Alper - Yaylı, Yusuf. “On Slant Helices And Manheim Curves in E^3”. Mathematical Sciences and Applications E-Notes 8/2 (Ekim 2020), 42-47. https://doi.org/10.36753/mathenot.742338.
JAMA Çay A, Yaylı Y. On Slant Helices And Manheim Curves in E^3. Math. Sci. Appl. E-Notes. 2020;8:42–47.
MLA Çay, Alper ve Yusuf Yaylı. “On Slant Helices And Manheim Curves in E^3”. Mathematical Sciences and Applications E-Notes, c. 8, sy. 2, 2020, ss. 42-47, doi:10.36753/mathenot.742338.
Vancouver Çay A, Yaylı Y. On Slant Helices And Manheim Curves in E^3. Math. Sci. Appl. E-Notes. 2020;8(2):42-7.

20477

The published articles in MSAEN are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.