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Yıl 2015, Cilt: 3 Sayı: 2, 64 - 73, 30.10.2015

Bülent Altunkaya Levent Kula

https://doi.org/10.36753/mathenot.421333
Cited By: 2

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, Cilt: 3 Sayı: 2, 64 - 73, 30.10.2015

Bülent Altunkaya Levent Kula

https://doi.org/10.36753/mathenot.421333
Cited By: 2

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.

Anahtar Kelimeler

Helices Spherical Helices Slant Helices Sabban Frame

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 Cilt: 3 Sayı: 2

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.

Cited By

Some Special Curves and Mannheim Curves in Three Dimensional Euclidean Space
Mathematical Sciences and Applications E-Notes
https://doi.org/10.36753/mathenot.421480
Characterizations of slant and spherical helices due to pseudo-Sabban frame
Fundamental Journal of Mathematics and Applications
https://doi.org/10.33401/fujma.412081

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