On differential rational invariants of classical motion groups
A pure algebraic approach to differential invariants of curves and surfaces is presented. By the use of this approach the explicit formulae for the generating differential invariants and invariant differential operators for the generic curves in n-dimensional classical geometries are considered.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
World Scientific Publishing Company
2015
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/44806/ http://irep.iium.edu.my/44806/1/AAL-U-I-Q.pdf |
| _version_ | 1848782670485520384 |
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| author | Bekbaev, Ural Rakhimov, Isamiddin Muminov, Qabuldjan |
| author_facet | Bekbaev, Ural Rakhimov, Isamiddin Muminov, Qabuldjan |
| author_sort | Bekbaev, Ural |
| building | IIUM Repository |
| collection | Online Access |
| description | A pure algebraic approach to differential invariants of curves and surfaces is presented. By the use of this approach the explicit formulae for the generating differential invariants and invariant differential operators for the generic curves in n-dimensional classical geometries are considered. |
| first_indexed | 2025-11-14T16:09:09Z |
| format | Article |
| id | iium-44806 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T16:09:09Z |
| publishDate | 2015 |
| publisher | World Scientific Publishing Company |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-448062017-08-18T02:40:36Z http://irep.iium.edu.my/44806/ On differential rational invariants of classical motion groups Bekbaev, Ural Rakhimov, Isamiddin Muminov, Qabuldjan QA Mathematics A pure algebraic approach to differential invariants of curves and surfaces is presented. By the use of this approach the explicit formulae for the generating differential invariants and invariant differential operators for the generic curves in n-dimensional classical geometries are considered. World Scientific Publishing Company 2015-03 Article PeerReviewed application/pdf en http://irep.iium.edu.my/44806/1/AAL-U-I-Q.pdf Bekbaev, Ural and Rakhimov, Isamiddin and Muminov, Qabuldjan (2015) On differential rational invariants of classical motion groups. Journal of Algebra and Its Applications, 14 (2). pp. 1550023-1. ISSN 0219-4988 http://www.worldscientific.com/ 10.1142/S0219498815500231 |
| spellingShingle | QA Mathematics Bekbaev, Ural Rakhimov, Isamiddin Muminov, Qabuldjan On differential rational invariants of classical motion groups |
| title | On differential rational invariants of classical motion groups |
| title_full | On differential rational invariants of classical motion groups |
| title_fullStr | On differential rational invariants of classical motion groups |
| title_full_unstemmed | On differential rational invariants of classical motion groups |
| title_short | On differential rational invariants of classical motion groups |
| title_sort | on differential rational invariants of classical motion groups |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/44806/ http://irep.iium.edu.my/44806/ http://irep.iium.edu.my/44806/ http://irep.iium.edu.my/44806/1/AAL-U-I-Q.pdf |