On geodesic mappings of threesymmetric spaces
The paper is devoted to the study of properties of pseudo-Riemannian spaces admitting nontrivial geodesic mappings. Necessary and sufficient conditions are found for A-threesymmetric spaces to admit nontrivial geodesic mappings. The research is carried out locally, in tensor form without restriction...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Odesa National University of Technology
2024-01-01
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| Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
| Subjects: | |
| Online Access: | https://journals.ontu.edu.ua/index.php/geometry/article/view/2647 |
| _version_ | 1797231752848080896 |
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| author | Volodymyr Kiosak Olexandr Prishlyak Olena Gudyreva |
| author_facet | Volodymyr Kiosak Olexandr Prishlyak Olena Gudyreva |
| author_sort | Volodymyr Kiosak |
| collection | DOAJ |
| description | The paper is devoted to the study of properties of pseudo-Riemannian spaces admitting nontrivial geodesic mappings. Necessary and sufficient conditions are found for A-threesymmetric spaces to admit nontrivial geodesic mappings. The research is carried out locally, in tensor form without restrictions to the sign of the metric tensor and the signature of the space. |
| first_indexed | 2024-04-24T15:49:23Z |
| format | Article |
| id | doaj.art-8dc64285c0e245bc9b74f01135163a4f |
| institution | Directory Open Access Journal |
| issn | 2072-9812 2409-8906 |
| language | English |
| last_indexed | 2024-04-24T15:49:23Z |
| publishDate | 2024-01-01 |
| publisher | Odesa National University of Technology |
| record_format | Article |
| series | Pracì Mìžnarodnogo Geometričnogo Centru |
| spelling | doaj.art-8dc64285c0e245bc9b74f01135163a4f2024-04-01T13:02:58ZengOdesa National University of TechnologyPracì Mìžnarodnogo Geometričnogo Centru2072-98122409-89062024-01-01171566410.15673/pigc.v17i1.26472647On geodesic mappings of threesymmetric spacesVolodymyr Kiosak0Olexandr Prishlyak1Olena Gudyreva2Odesa State Academy of Civil Engineering and Architecture, Didrihson st., 4, Odesa, 65029, UkraineTaras Shevchenko National University of Kyiv, 4th Academician Glushkov avenue, Kyiv, 03127, UkraineKherson State Maritime Academy, Ushakova av., 20, Kherson, 73000, UkraineThe paper is devoted to the study of properties of pseudo-Riemannian spaces admitting nontrivial geodesic mappings. Necessary and sufficient conditions are found for A-threesymmetric spaces to admit nontrivial geodesic mappings. The research is carried out locally, in tensor form without restrictions to the sign of the metric tensor and the signature of the space.https://journals.ontu.edu.ua/index.php/geometry/article/view/2647symmetric spacesa-threesymmetric spacesgeodesic mappings |
| spellingShingle | Volodymyr Kiosak Olexandr Prishlyak Olena Gudyreva On geodesic mappings of threesymmetric spaces Pracì Mìžnarodnogo Geometričnogo Centru symmetric spaces a-threesymmetric spaces geodesic mappings |
| title | On geodesic mappings of threesymmetric spaces |
| title_full | On geodesic mappings of threesymmetric spaces |
| title_fullStr | On geodesic mappings of threesymmetric spaces |
| title_full_unstemmed | On geodesic mappings of threesymmetric spaces |
| title_short | On geodesic mappings of threesymmetric spaces |
| title_sort | on geodesic mappings of threesymmetric spaces |
| topic | symmetric spaces a-threesymmetric spaces geodesic mappings |
| url | https://journals.ontu.edu.ua/index.php/geometry/article/view/2647 |
| work_keys_str_mv | AT volodymyrkiosak ongeodesicmappingsofthreesymmetricspaces AT olexandrprishlyak ongeodesicmappingsofthreesymmetricspaces AT olenagudyreva ongeodesicmappingsofthreesymmetricspaces |