The Equations and Characteristics of the Magnetic Curves in the Sphere Space
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 i...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/7694306 |
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| _version_ | 1849690679627743232 |
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| author | Jianguo Sun |
| author_facet | Jianguo Sun |
| author_sort | Jianguo Sun |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ef1eb809968046eea7626494d0f7cac3 |
| institution | DOAJ |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-ef1eb809968046eea7626494d0f7cac32025-08-20T03:21:15ZengWileyAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/76943067694306The Equations and Characteristics of the Magnetic Curves in the Sphere SpaceJianguo Sun0School of Science, China University of Petroleum (East China), Qingdao 266555, ChinaWe 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.http://dx.doi.org/10.1155/2019/7694306 |
| spellingShingle | Jianguo Sun The Equations and Characteristics of the Magnetic Curves in the Sphere Space Advances in Mathematical Physics |
| title | The Equations and Characteristics of the Magnetic Curves in the Sphere Space |
| title_full | The Equations and Characteristics of the Magnetic Curves in the Sphere Space |
| title_fullStr | The Equations and Characteristics of the Magnetic Curves in the Sphere Space |
| title_full_unstemmed | The Equations and Characteristics of the Magnetic Curves in the Sphere Space |
| title_short | The Equations and Characteristics of the Magnetic Curves in the Sphere Space |
| title_sort | equations and characteristics of the magnetic curves in the sphere space |
| url | http://dx.doi.org/10.1155/2019/7694306 |
| work_keys_str_mv | AT jianguosun theequationsandcharacteristicsofthemagneticcurvesinthespherespace AT jianguosun equationsandcharacteristicsofthemagneticcurvesinthespherespace |