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The Equations and Characteristics of the Magnetic Curves in the Sphere Space

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  • Jianguo Sun

Abstract

We investigate some geometrical properties of magnetic curves in S3 under the action of the Killing magnetic field V = a∂x + b∂y + c∂z. The other main result is provided about the classification of the equations of the geodesics in S3. Moreover, some most relevant graphs of the main results were drawn in this paper.

Suggested Citation

  • Jianguo Sun, 2019. "The Equations and Characteristics of the Magnetic Curves in the Sphere Space," Advances in Mathematical Physics, John Wiley & Sons, vol. 2019(1).
    • Handle: RePEc:wly:jnlamp:v:2019:y:2019:i:1:n:7694306
    DOI: 10.1155/2019/7694306
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    References listed on IDEAS

    as
    1. Araz R. Aliev & Elshad H. Eyvazov & Said F. M. Ibrahim & Hassan A. Zedan, 2016. "Description of the Magnetic Field and Divergence of Multisolenoid Aharonov‐Bohm Potential," Advances in Mathematical Physics, John Wiley & Sons, vol. 2016(1).
    2. Araz R. Aliev & Elshad H. Eyvazov & Said F. M. Ibrahim & Hassan A. Zedan, 2016. "Description of the Magnetic Field and Divergence of Multisolenoid Aharonov-Bohm Potential," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-8, February.
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