Geometry of foliations of Minkowski spaces
As is well known, foliations of constant curvature and foliations generated by the orbits of Killing vector fields are important classes of foliations from a geometric point of view. The paper studies the geometry of some foliations of the Minkowski space, which arise in a natural way. It is shown t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2023-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/50/e3sconf_interagromash2023_03034.pdf |
| _version_ | 1797740318985027584 |
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| author | Artykbaev A. Narmanov A. Ya. Ismoilov Sh. Sh. |
| author_facet | Artykbaev A. Narmanov A. Ya. Ismoilov Sh. Sh. |
| author_sort | Artykbaev A. |
| collection | DOAJ |
| description | As is well known, foliations of constant curvature and foliations generated by the orbits of Killing vector fields are important classes of foliations from a geometric point of view. The paper studies the geometry of some foliations of the Minkowski space, which arise in a natural way. It is shown that these foliations are foliations of constant curvature. The paper also studies the geometry of some singular foliations generated by the orbits of Killing vector fields. |
| first_indexed | 2024-03-12T14:10:44Z |
| format | Article |
| id | doaj.art-75a1eef98d6a40a18a76494a8a4a02f3 |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-03-12T14:10:44Z |
| publishDate | 2023-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-75a1eef98d6a40a18a76494a8a4a02f32023-08-21T09:02:11ZengEDP SciencesE3S Web of Conferences2267-12422023-01-014130303410.1051/e3sconf/202341303034e3sconf_interagromash2023_03034Geometry of foliations of Minkowski spacesArtykbaev A.0Narmanov A. Ya.1Ismoilov Sh. Sh.2Tashkent State Transport UniversityNational University of UzbekistanNational University of UzbekistanAs is well known, foliations of constant curvature and foliations generated by the orbits of Killing vector fields are important classes of foliations from a geometric point of view. The paper studies the geometry of some foliations of the Minkowski space, which arise in a natural way. It is shown that these foliations are foliations of constant curvature. The paper also studies the geometry of some singular foliations generated by the orbits of Killing vector fields.https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/50/e3sconf_interagromash2023_03034.pdf |
| spellingShingle | Artykbaev A. Narmanov A. Ya. Ismoilov Sh. Sh. Geometry of foliations of Minkowski spaces E3S Web of Conferences |
| title | Geometry of foliations of Minkowski spaces |
| title_full | Geometry of foliations of Minkowski spaces |
| title_fullStr | Geometry of foliations of Minkowski spaces |
| title_full_unstemmed | Geometry of foliations of Minkowski spaces |
| title_short | Geometry of foliations of Minkowski spaces |
| title_sort | geometry of foliations of minkowski spaces |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/50/e3sconf_interagromash2023_03034.pdf |
| work_keys_str_mv | AT artykbaeva geometryoffoliationsofminkowskispaces AT narmanovaya geometryoffoliationsofminkowskispaces AT ismoilovshsh geometryoffoliationsofminkowskispaces |