Darboux Vector in Four-Dimensional Space-Time
As the space-time model of the theory of relativity, four-dimensional Minkowski space is the basis of the theoretical framework for the development of the theory of relativity. In this paper, we introduce Darboux vector fields in four-dimensional Minkowski space. Using these vector fields, we define...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/9044567 |
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| _version_ | 1832550786193686528 |
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| author | Na Hu Tingting Zhang Yang Jiang |
| author_facet | Na Hu Tingting Zhang Yang Jiang |
| author_sort | Na Hu |
| collection | DOAJ |
| description | As the space-time model of the theory of relativity, four-dimensional Minkowski space is the basis of the theoretical framework for the development of the theory of relativity. In this paper, we introduce Darboux vector fields in four-dimensional Minkowski space. Using these vector fields, we define some new planes and curves. We find that the new planes are the instantaneous rotation planes of rigid body moving in four-dimensional space-time. In addition, according to some characteristics of Darboux vectors in geometry, we define some new space curves in four-dimensional space-time and describe them with curvature functions. Finally, we give some examples. |
| format | Article |
| id | doaj-art-3a20fd78095e4a83b2669441f1b9d940 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-3a20fd78095e4a83b2669441f1b9d9402025-02-03T06:05:51ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/9044567Darboux Vector in Four-Dimensional Space-TimeNa Hu0Tingting Zhang1Yang Jiang2School of ScienceSchool of ScienceCollege of Mathematics and Systems ScienceAs the space-time model of the theory of relativity, four-dimensional Minkowski space is the basis of the theoretical framework for the development of the theory of relativity. In this paper, we introduce Darboux vector fields in four-dimensional Minkowski space. Using these vector fields, we define some new planes and curves. We find that the new planes are the instantaneous rotation planes of rigid body moving in four-dimensional space-time. In addition, according to some characteristics of Darboux vectors in geometry, we define some new space curves in four-dimensional space-time and describe them with curvature functions. Finally, we give some examples.http://dx.doi.org/10.1155/2022/9044567 |
| spellingShingle | Na Hu Tingting Zhang Yang Jiang Darboux Vector in Four-Dimensional Space-Time Advances in Mathematical Physics |
| title | Darboux Vector in Four-Dimensional Space-Time |
| title_full | Darboux Vector in Four-Dimensional Space-Time |
| title_fullStr | Darboux Vector in Four-Dimensional Space-Time |
| title_full_unstemmed | Darboux Vector in Four-Dimensional Space-Time |
| title_short | Darboux Vector in Four-Dimensional Space-Time |
| title_sort | darboux vector in four dimensional space time |
| url | http://dx.doi.org/10.1155/2022/9044567 |
| work_keys_str_mv | AT nahu darbouxvectorinfourdimensionalspacetime AT tingtingzhang darbouxvectorinfourdimensionalspacetime AT yangjiang darbouxvectorinfourdimensionalspacetime |