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Spherical Curves with Modified Orthogonal Frame with Torsion

Yıl 2022, Cilt: 7 Sayı: 3, 177 - 184, 30.12.2022

Öz

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.

Destekleyen Kurum

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Proje Numarası

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Teşekkür

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Kaynakça

  • [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.
Yıl 2022, Cilt: 7 Sayı: 3, 177 - 184, 30.12.2022

Öz

Proje Numarası

-

Kaynakça

  • [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.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Volume VII Issue III
Yazarlar

Nural Yüksel 0000-0003-3360-5148

Murat Kemal Karacan 0000-0002-2832-9444

Tuğba Demirkıran 0000-0003-0099-6170

Proje Numarası -
Yayımlanma Tarihi 30 Aralık 2022
Yayımlandığı Sayı Yıl 2022 Cilt: 7 Sayı: 3

Kaynak Göster

APA Yüksel, N., Karacan, M. K., & Demirkıran, T. (2022). Spherical Curves with Modified Orthogonal Frame with Torsion. Turkish Journal of Science, 7(3), 177-184.
AMA Yüksel N, Karacan MK, Demirkıran T. Spherical Curves with Modified Orthogonal Frame with Torsion. TJOS. Aralık 2022;7(3):177-184.
Chicago Yüksel, Nural, Murat Kemal Karacan, ve Tuğba Demirkıran. “Spherical Curves With Modified Orthogonal Frame With Torsion”. Turkish Journal of Science 7, sy. 3 (Aralık 2022): 177-84.
EndNote Yüksel N, Karacan MK, Demirkıran T (01 Aralık 2022) Spherical Curves with Modified Orthogonal Frame with Torsion. Turkish Journal of Science 7 3 177–184.
IEEE N. Yüksel, M. K. Karacan, ve T. Demirkıran, “Spherical Curves with Modified Orthogonal Frame with Torsion”, TJOS, c. 7, sy. 3, ss. 177–184, 2022.
ISNAD Yüksel, Nural vd. “Spherical Curves With Modified Orthogonal Frame With Torsion”. Turkish Journal of Science 7/3 (Aralık 2022), 177-184.
JAMA Yüksel N, Karacan MK, Demirkıran T. Spherical Curves with Modified Orthogonal Frame with Torsion. TJOS. 2022;7:177–184.
MLA Yüksel, Nural vd. “Spherical Curves With Modified Orthogonal Frame With Torsion”. Turkish Journal of Science, c. 7, sy. 3, 2022, ss. 177-84.
Vancouver Yüksel N, Karacan MK, Demirkıran T. Spherical Curves with Modified Orthogonal Frame with Torsion. TJOS. 2022;7(3):177-84.