On Magnetic Curves According to Killing Vector Fields in Euclidean 3-Space

被引:2
作者
Saad, M. Khalifa [1 ]
Abdel-Aziz, H. S. [2 ]
Ali, Haytham A. [2 ]
机构
[1] Islamic Univ Madinah, Fac Sci, Dept Math, Al Madinah 170, Saudi Arabia
[2] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt
关键词
magnetic curves; killing vector field; Lorentz force; spherical indicatrices;
D O I
10.28924/2291-8639-20-2022-18
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the geometric theory of space curves, a magnetic field generates magnetic flow. The trajectories of magnetic flow are called magnetic curves. In the present paper, we obtain magnetic curves corresponding to killing magnetic fields in Euclidean 3-space E-3. The magnetic curves of the spherical indicatrices of the tangent, principal normal and binormal for a regular space curve are said to be meant curves. Also, we investigate the magnetic curves of the tangent indicatrix and obtain the trajectories of the magnetic fields called T-T-magnetic, N-T-magnetic and B-T-magnetic curves. Finally, some computational examples in support of our main results are given and plotted.
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页数:16
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