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Dergiler / Mathematical Sciences and Applications E-Notes / 2015 / Cilt: 3 - Sayı: 2

SOME CHARACTERIZATIONS OF SLANT AND SPHERICAL HELICES DUE TO SABBAN FRAME

Bülent ALTUNKAYA
Levent KULA
Sayfa
64–73
Yayın Tarihi
2015-10-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
📊
Temel Bulgular & Veri: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.
💡
Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Helices · Spherical Helices · Slant Helices

Abstract

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.

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Bu Makaleye Atıf Yap

ALTUNKAYA, B., KULA, L. (2015). SOME CHARACTERIZATIONS OF SLANT AND SPHERICAL HELICES DUE TO SABBAN FRAME. Mathematical Sciences and Applications E-Notes, Cilt: 3 - Sayı: 2, 64–73. https://ajindex.com/articles/690781

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Kaynakça (6)

  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.