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Dergiler / Turkish Journal of Science / 2022 / Cilt: 7 Sayı: 3

Spherical Curves with Modified Orthogonal Frame with Torsion

Nural Yüksel(ERCİYES ÜNİVERSİTESİ, FEN FAKÜLTESİ)0000-0003-3360-5148
Murat Kemal Karacan(USAK UNIVERSITY)0000-0002-2832-9444
Tuğba Demirkıran(YALOVA UNIVERSITY, YALOVA VOCATIONAL SCHOOL, TECHNICAL PROGRAMS DEPARTMENT)0000-0003-0099-6170
Sayfa
177–184
Yayın Tarihi
2022-12-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We obtained the center, the radius and spherical condition of spherical curves according to the Euclidean 3-space.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we studied the spherical curves according to modified orthogonal frame with torsion in Euclidean 3- space.
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Temel Bulgular & Veri:In this paper, we studied the spherical curves according to modified orthogonal frame with torsion in Euclidean 3- space.
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Sonuç & Katkı:We obtained the center, the radius and spherical condition of spherical curves according to the Euclidean 3-space.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Spherical curves · Modified orthogonal frame with torsion · Frenet-Serret frame.

Abstract

In this paper, we studied the spherical curves according to modified orthogonal frame with torsion in Euclidean 3- space. We obtained the center, the radius and spherical condition of spherical curves according to the Euclidean 3-space.

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Bu Makaleye Atıf Yap

Yüksel, N., Karacan, M. K., Demirkıran, T. (2022). Spherical Curves with Modified Orthogonal Frame with Torsion. Turkish Journal of Science, Cilt: 7 Sayı: 3, 177–184. https://ajindex.com/articles/1557504

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Kaynakça (7)

  1. Carmo M.D. Di erential Geometry of Curves and Surfaces, Prentice-Hall, New Jersey, 1976.
  2. Milman R.S., Parker G.D. Elements of Di erential Geometry, Prentice-Hall Inc., Englewood Clifs, New Jersey, 1977.
  3. Fujivara, M. On Space Curves Of Constant Breadth, Thoku Math. J., 5, 179-184, 1914.
  4. Wong Y.C. A Global Formulation of the Condition for a curve to lie in a sphere, Monatsh.Math., 67, 363-365, 1963.
  5. Wong Y.C. On an Explicit Characterization of Spherical Curves, Proc. Amer. Math. Soc., 34, 239-242, 1972.
  6. Bukcu, B., Karacan M.K. Spherical Curves with Modi ed Orthogonal Frame, Journal of New Results in Science, 2016.
  7. Cakmak, A., Sahin V. Characterizations of adjoint curves according to alternative moving frame, Fundamental Journal of Mathematics and Applications, 5 (1) (2022) 42-50.