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Spherical Curves with Modified Orthogonal Frame with Torsion

Year 2022, Volume: 7 Issue: 3, 177 - 184, 30.12.2022

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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Thanks

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References

  • [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.
Year 2022, Volume: 7 Issue: 3, 177 - 184, 30.12.2022

Abstract

Project Number

-

References

  • [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.
There are 7 citations in total.

Details

Primary Language English
Journal Section Volume VII Issue III
Authors

Nural Yüksel 0000-0003-3360-5148

Murat Kemal Karacan 0000-0002-2832-9444

Tuğba Demirkıran 0000-0003-0099-6170

Project Number -
Publication Date December 30, 2022
Published in Issue Year 2022 Volume: 7 Issue: 3

Cite

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. December 2022;7(3):177-184.
Chicago Yüksel, Nural, Murat Kemal Karacan, and Tuğba Demirkıran. “Spherical Curves With Modified Orthogonal Frame With Torsion”. Turkish Journal of Science 7, no. 3 (December 2022): 177-84.
EndNote Yüksel N, Karacan MK, Demirkıran T (December 1, 2022) Spherical Curves with Modified Orthogonal Frame with Torsion. Turkish Journal of Science 7 3 177–184.
IEEE N. Yüksel, M. K. Karacan, and T. Demirkıran, “Spherical Curves with Modified Orthogonal Frame with Torsion”, TJOS, vol. 7, no. 3, pp. 177–184, 2022.
ISNAD Yüksel, Nural et al. “Spherical Curves With Modified Orthogonal Frame With Torsion”. Turkish Journal of Science 7/3 (December 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 et al. “Spherical Curves With Modified Orthogonal Frame With Torsion”. Turkish Journal of Science, vol. 7, no. 3, 2022, pp. 177-84.
Vancouver Yüksel N, Karacan MK, Demirkıran T. Spherical Curves with Modified Orthogonal Frame with Torsion. TJOS. 2022;7(3):177-84.