EN
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
References
- [1] Carmo M.D. Dierential Geometry of Curves and Surfaces, Prentice-Hall, New Jersey, 1976.
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- [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 Modied 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.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
December 30, 2022
Submission Date
June 24, 2022
Acceptance Date
September 15, 2022
Published in Issue
Year 2022 Volume: 7 Number: 3
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, and 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 (December 1, 2022) Spherical Curves with Modified Orthogonal Frame with Torsion. Turkish Journal of Science 7 3 177–184.
IEEE
[1]N. Yüksel, M. K. Karacan, and T. Demirkıran, “Spherical Curves with Modified Orthogonal Frame with Torsion”, TJOS, vol. 7, no. 3, pp. 177–184, Dec. 2022, [Online]. Available: 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 (December 1, 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, et al. “Spherical Curves With Modified Orthogonal Frame With Torsion”. Turkish Journal of Science, vol. 7, no. 3, Dec. 2022, pp. 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]. 2022 Dec. 1;7(3):177-84. Available from: https://izlik.org/JA34UB22CZ