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Spherical Curves with Modified Orthogonal Frame with Torsion

Cilt: 7 Sayı: 3 30 Aralık 2022
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Spherical Curves with Modified Orthogonal Frame with Torsion

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.

Keywords

Kaynakça

  1. [1] Carmo M.D. Di erential Geometry of Curves and Surfaces, Prentice-Hall, New Jersey, 1976.
  2. [2] Milman R.S., Parker G.D. Elements of Di erential Geometry, Prentice-Hall Inc., Englewood Clifs, New Jersey, 1977.
  3. [3] Fujivara, M. On Space Curves Of Constant Breadth, Thoku Math. J., 5, 179-184, 1914.
  4. [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. [5] Wong Y.C. On an Explicit Characterization of Spherical Curves, Proc. Amer. Math. Soc., 34, 239-242, 1972.
  6. [6] Bukcu, B., Karacan M.K. Spherical Curves with Modi ed Orthogonal Frame, Journal of New Results in Science, 2016.
  7. [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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Aralık 2022

Gönderilme Tarihi

24 Haziran 2022

Kabul Tarihi

15 Eylül 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. https://izlik.org/JA34UB22CZ
AMA
1.Yüksel N, Karacan MK, Demirkıran T. Spherical Curves with Modified Orthogonal Frame with Torsion. TJOS. 2022;7(3):177-184. https://izlik.org/JA34UB22CZ
Chicago
Yüksel, Nural, Murat Kemal Karacan, ve Tuğba Demirkıran. 2022. “Spherical Curves with Modified Orthogonal Frame with Torsion”. Turkish Journal of Science 7 (3): 177-84. https://izlik.org/JA34UB22CZ.
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
[1]N. Yüksel, M. K. Karacan, ve T. Demirkıran, “Spherical Curves with Modified Orthogonal Frame with Torsion”, TJOS, c. 7, sy 3, ss. 177–184, Ara. 2022, [çevrimiçi]. Erişim adresi: https://izlik.org/JA34UB22CZ
ISNAD
Yüksel, Nural - Karacan, Murat Kemal - Demirkıran, Tuğba. “Spherical Curves with Modified Orthogonal Frame with Torsion”. Turkish Journal of Science 7/3 (01 Aralık 2022): 177-184. https://izlik.org/JA34UB22CZ.
JAMA
1.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, Aralık 2022, ss. 177-84, https://izlik.org/JA34UB22CZ.
Vancouver
1.Nural Yüksel, Murat Kemal Karacan, Tuğba Demirkıran. Spherical Curves with Modified Orthogonal Frame with Torsion. TJOS [Internet]. 01 Aralık 2022;7(3):177-84. Erişim adresi: https://izlik.org/JA34UB22CZ