Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2015, , 64 - 73, 30.10.2015
https://doi.org/10.36753/mathenot.421333

Öz

Kaynakça

  • [1] L. Kula, Y. Yaylı, On slant helix and its spherical indicatrix, Appl. Math. Comput., 169 (1), 600-607, 2005.
  • [2] S. Izumiya, N. Takeuchi, Generic properties of helices and Bertrand curves , J. Geom. 74, 97-109, 2002.
  • [3] R. Encheva, G. Georgiev, Shapes of space curves, Journal for Geometry and Graphics, Vol 7, No. 2, 145-155, 2003.
  • [4] S. Izumiya, N. Takeuchi, New special curves and developable surfaces, Turk. J. Math. 28, 153-163, 2004.
  • [5] B. O’Neill, Elementary Differential Geometry, Academic Press, 2006.
  • [6] D. J. Struik, Lectures on Classical Differential Geometry, Dover, 1961.

SOME CHARACTERIZATIONS OF SLANT AND SPHERICAL HELICES DUE TO SABBAN FRAME

Yıl 2015, , 64 - 73, 30.10.2015
https://doi.org/10.36753/mathenot.421333

Öz

In this paper, we are investigating that under which conditions of
the geodesic curvature of unit speed curve γ that lies on the unit sphere, the
curve c which is obtained by using γ, is a spherical helix or slant helix.

Kaynakça

  • [1] L. Kula, Y. Yaylı, On slant helix and its spherical indicatrix, Appl. Math. Comput., 169 (1), 600-607, 2005.
  • [2] S. Izumiya, N. Takeuchi, Generic properties of helices and Bertrand curves , J. Geom. 74, 97-109, 2002.
  • [3] R. Encheva, G. Georgiev, Shapes of space curves, Journal for Geometry and Graphics, Vol 7, No. 2, 145-155, 2003.
  • [4] S. Izumiya, N. Takeuchi, New special curves and developable surfaces, Turk. J. Math. 28, 153-163, 2004.
  • [5] B. O’Neill, Elementary Differential Geometry, Academic Press, 2006.
  • [6] D. J. Struik, Lectures on Classical Differential Geometry, Dover, 1961.
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Bülent Altunkaya

Levent Kula

Yayımlanma Tarihi 30 Ekim 2015
Gönderilme Tarihi 26 Haziran 2015
Yayımlandığı Sayı Yıl 2015

Kaynak Göster

APA Altunkaya, B., & Kula, L. (2015). SOME CHARACTERIZATIONS OF SLANT AND SPHERICAL HELICES DUE TO SABBAN FRAME. Mathematical Sciences and Applications E-Notes, 3(2), 64-73. https://doi.org/10.36753/mathenot.421333
AMA Altunkaya B, Kula L. SOME CHARACTERIZATIONS OF SLANT AND SPHERICAL HELICES DUE TO SABBAN FRAME. Math. Sci. Appl. E-Notes. Ekim 2015;3(2):64-73. doi:10.36753/mathenot.421333
Chicago Altunkaya, Bülent, ve Levent Kula. “SOME CHARACTERIZATIONS OF SLANT AND SPHERICAL HELICES DUE TO SABBAN FRAME”. Mathematical Sciences and Applications E-Notes 3, sy. 2 (Ekim 2015): 64-73. https://doi.org/10.36753/mathenot.421333.
EndNote Altunkaya B, Kula L (01 Ekim 2015) SOME CHARACTERIZATIONS OF SLANT AND SPHERICAL HELICES DUE TO SABBAN FRAME. Mathematical Sciences and Applications E-Notes 3 2 64–73.
IEEE B. Altunkaya ve L. Kula, “SOME CHARACTERIZATIONS OF SLANT AND SPHERICAL HELICES DUE TO SABBAN FRAME”, Math. Sci. Appl. E-Notes, c. 3, sy. 2, ss. 64–73, 2015, doi: 10.36753/mathenot.421333.
ISNAD Altunkaya, Bülent - Kula, Levent. “SOME CHARACTERIZATIONS OF SLANT AND SPHERICAL HELICES DUE TO SABBAN FRAME”. Mathematical Sciences and Applications E-Notes 3/2 (Ekim 2015), 64-73. https://doi.org/10.36753/mathenot.421333.
JAMA Altunkaya B, Kula L. SOME CHARACTERIZATIONS OF SLANT AND SPHERICAL HELICES DUE TO SABBAN FRAME. Math. Sci. Appl. E-Notes. 2015;3:64–73.
MLA Altunkaya, Bülent ve Levent Kula. “SOME CHARACTERIZATIONS OF SLANT AND SPHERICAL HELICES DUE TO SABBAN FRAME”. Mathematical Sciences and Applications E-Notes, c. 3, sy. 2, 2015, ss. 64-73, doi:10.36753/mathenot.421333.
Vancouver Altunkaya B, Kula L. SOME CHARACTERIZATIONS OF SLANT AND SPHERICAL HELICES DUE TO SABBAN FRAME. Math. Sci. Appl. E-Notes. 2015;3(2):64-73.

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