Piecewise-maximum closed Geodesic trajectories on bounded Toroidal manifolds
We use toroidal coordinates for the investigation of maximum geodesic trajectories for arbitrary parameters of a torus. Conditions under which trajectories are located in a bounded part of the toroidal manifold are considered. Using global invariants, we construct closed piecewise-maximum geodesic t...
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| Date: | 2004 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2004
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3829 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509962084548608 |
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| author | Romanov, S. S. Романов, С. С. Романов, С. С. |
| author_facet | Romanov, S. S. Романов, С. С. Романов, С. С. |
| author_sort | Romanov, S. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:11:24Z |
| description | We use toroidal coordinates for the investigation of maximum geodesic trajectories for arbitrary parameters of a torus. Conditions under which trajectories are located in a bounded part of the toroidal manifold are considered. Using global invariants, we construct closed piecewise-maximum geodesic trajectories. |
| first_indexed | 2026-03-24T02:49:26Z |
| format | Article |
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| id | umjimathkievua-article-3829 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:49:26Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/4d/734922b744f3cddb730794cfd640644d.pdf |
| spelling | umjimathkievua-article-38292020-03-18T20:11:24Z Piecewise-maximum closed Geodesic trajectories on bounded Toroidal manifolds Кусочно-максимальные замкнутые геодезические траектории на ограниченных тороидальных многообразиях Romanov, S. S. Романов, С. С. Романов, С. С. We use toroidal coordinates for the investigation of maximum geodesic trajectories for arbitrary parameters of a torus. Conditions under which trajectories are located in a bounded part of the toroidal manifold are considered. Using global invariants, we construct closed piecewise-maximum geodesic trajectories. Із використанням тороїдальних координат досліджуються максимальні геодезичні траєкторії, при довільних параметрах тора. Розглянуто умови, при яких траєкторії розташовані в обмеженій частині тороїдальної множини. За допомогою глобальних інваріантів конструюються замкнені кусково-максимальні геодезичні траєкторії. Institute of Mathematics, NAS of Ukraine 2004-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3829 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 8 (2004); 1139–1142 Український математичний журнал; Том 56 № 8 (2004); 1139–1142 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3829/4378 https://umj.imath.kiev.ua/index.php/umj/article/view/3829/4379 Copyright (c) 2004 Romanov S. S. |
| spellingShingle | Romanov, S. S. Романов, С. С. Романов, С. С. Piecewise-maximum closed Geodesic trajectories on bounded Toroidal manifolds |
| title | Piecewise-maximum closed Geodesic trajectories on bounded Toroidal manifolds |
| title_alt | Кусочно-максимальные замкнутые геодезические траектории на ограниченных тороидальных многообразиях |
| title_full | Piecewise-maximum closed Geodesic trajectories on bounded Toroidal manifolds |
| title_fullStr | Piecewise-maximum closed Geodesic trajectories on bounded Toroidal manifolds |
| title_full_unstemmed | Piecewise-maximum closed Geodesic trajectories on bounded Toroidal manifolds |
| title_short | Piecewise-maximum closed Geodesic trajectories on bounded Toroidal manifolds |
| title_sort | piecewise-maximum closed geodesic trajectories on bounded toroidal manifolds |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3829 |
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