Spherical Curves with Modified Orthogonal Frame with Torsion

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

Nural Yüksel , Murat Kemal Karacan , Tuğba Demirkıran

https://izlik.org/JA34UB22CZ

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.

Anahtar Kelimeler

Spherical curves , Modified orthogonal frame with torsion , Frenet-Serret frame.

Destekleyen Kurum

-

Proje Numarası

-

Teşekkür

-

Kaynakça

• [1] Carmo M.D. Dierential Geometry of Curves and Surfaces, Prentice-Hall, New Jersey, 1976.
• [2] Milman R.S., Parker G.D. Elements of Dierential 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.