Group-Theoretic Description of Riemannian Spaces
We show that the geometric structure of an arbitrarily curved Riemannian space is locally determined by a deformed group of its diffeomorphisms.
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| Datum: | 2003 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2003
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3996 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510125349928960 |
|---|---|
| author | Samokhvalov, S. E. Самохвалов, С. Є. |
| author_facet | Samokhvalov, S. E. Самохвалов, С. Є. |
| author_sort | Samokhvalov, S. E. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:18:03Z |
| description | We show that the geometric structure of an arbitrarily curved Riemannian space is locally determined by a deformed group of its diffeomorphisms. |
| first_indexed | 2026-03-24T02:52:01Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3996 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:52:01Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/56/9d4e7fa4f192c08995ecc13e3ffee656.pdf |
| spelling | umjimathkievua-article-39962020-03-18T20:18:03Z Group-Theoretic Description of Riemannian Spaces Теоретико-груповий опис ріманових просторів Samokhvalov, S. E. Самохвалов, С. Є. We show that the geometric structure of an arbitrarily curved Riemannian space is locally determined by a deformed group of its diffeomorphisms. Показано, що локально геометрична структура довільно викривленого ріманового простору задається деформованою групою його дифеоморфізмів. Institute of Mathematics, NAS of Ukraine 2003-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3996 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 9 (2003); 1238-1248 Український математичний журнал; Том 55 № 9 (2003); 1238-1248 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3996/4704 https://umj.imath.kiev.ua/index.php/umj/article/view/3996/4705 Copyright (c) 2003 Samokhvalov S. E. |
| spellingShingle | Samokhvalov, S. E. Самохвалов, С. Є. Group-Theoretic Description of Riemannian Spaces |
| title | Group-Theoretic Description of Riemannian Spaces |
| title_alt | Теоретико-груповий опис ріманових просторів |
| title_full | Group-Theoretic Description of Riemannian Spaces |
| title_fullStr | Group-Theoretic Description of Riemannian Spaces |
| title_full_unstemmed | Group-Theoretic Description of Riemannian Spaces |
| title_short | Group-Theoretic Description of Riemannian Spaces |
| title_sort | group-theoretic description of riemannian spaces |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3996 |
| work_keys_str_mv | AT samokhvalovse grouptheoreticdescriptionofriemannianspaces AT samohvalovsê grouptheoreticdescriptionofriemannianspaces AT samokhvalovse teoretikogrupovijopisrímanovihprostorív AT samohvalovsê teoretikogrupovijopisrímanovihprostorív |