Affine connection adjoined to web W(1, n, 1)
The 3-web and the system of differential equations are adjoined with an associated affine torsion-free connection (the so called canonical connection of an ordinary differential equations’ system). Components of the torsion tensor of this connection are expressed through the functions defining the s...
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| Format: | Article |
| Language: | Russian |
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Moscow State Technical University of Civil Aviation
2016-11-01
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| Series: | Научный вестник МГТУ ГА |
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| Online Access: | https://avia.mstuca.ru/jour/article/view/239 |
| _version_ | 1797883103670173696 |
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| author | A. A. Duyunova |
| author_facet | A. A. Duyunova |
| author_sort | A. A. Duyunova |
| collection | DOAJ |
| description | The 3-web and the system of differential equations are adjoined with an associated affine torsion-free connection (the so called canonical connection of an ordinary differential equations’ system). Components of the torsion tensor of this connection are expressed through the functions defining the system of differential equations. A general form of the system of differential equations with the zero torsion tensor is obtained. |
| first_indexed | 2024-04-10T03:46:32Z |
| format | Article |
| id | doaj.art-bf81a0d689444c57bd7ec4c103439e6c |
| institution | Directory Open Access Journal |
| issn | 2079-0619 2542-0119 |
| language | Russian |
| last_indexed | 2024-04-10T03:46:32Z |
| publishDate | 2016-11-01 |
| publisher | Moscow State Technical University of Civil Aviation |
| record_format | Article |
| series | Научный вестник МГТУ ГА |
| spelling | doaj.art-bf81a0d689444c57bd7ec4c103439e6c2023-03-13T07:19:11ZrusMoscow State Technical University of Civil AviationНаучный вестник МГТУ ГА2079-06192542-01192016-11-010207100109239Affine connection adjoined to web W(1, n, 1)A. A. DuyunovaThe 3-web and the system of differential equations are adjoined with an associated affine torsion-free connection (the so called canonical connection of an ordinary differential equations’ system). Components of the torsion tensor of this connection are expressed through the functions defining the system of differential equations. A general form of the system of differential equations with the zero torsion tensor is obtained.https://avia.mstuca.ru/jour/article/view/239multidimensional three-websystem of ordinary differential equationsaffine connection |
| spellingShingle | A. A. Duyunova Affine connection adjoined to web W(1, n, 1) Научный вестник МГТУ ГА multidimensional three-web system of ordinary differential equations affine connection |
| title | Affine connection adjoined to web W(1, n, 1) |
| title_full | Affine connection adjoined to web W(1, n, 1) |
| title_fullStr | Affine connection adjoined to web W(1, n, 1) |
| title_full_unstemmed | Affine connection adjoined to web W(1, n, 1) |
| title_short | Affine connection adjoined to web W(1, n, 1) |
| title_sort | affine connection adjoined to web w 1 n 1 |
| topic | multidimensional three-web system of ordinary differential equations affine connection |
| url | https://avia.mstuca.ru/jour/article/view/239 |
| work_keys_str_mv | AT aaduyunova affineconnectionadjoinedtowebw1n1 |