On relation between algebraic and ordinary differential algebraic invariants of motion groups
As applied to differential geometry it provides a method to describe differential algebraic $H$-invariants of paths by the use of algebraic $H$-invariants, where $H$ is any subgroup of the affine group. It is shown also that a generating system of differential $H$-invariants of curves can be derive...
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| Format: | Article |
| Language: | English |
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Pleiades Publishing, Ltd.
2014
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| Online Access: | http://irep.iium.edu.my/37997/ http://irep.iium.edu.my/37997/1/LOJM172.pdf |
| _version_ | 1848781517098057728 |
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| author | Bekbaev, Ural |
| author_facet | Bekbaev, Ural |
| author_sort | Bekbaev, Ural |
| building | IIUM Repository |
| collection | Online Access |
| description | As applied to differential geometry it provides a method
to describe differential algebraic $H$-invariants of paths by the use of algebraic $H$-invariants, where $H$ is any subgroup of the affine group. It is shown also that a generating system of differential $H$-invariants of curves can be derived from given system of differential $H$-invariants of paths. All relations among members of the obtained generating system can be predicted as well. |
| first_indexed | 2025-11-14T15:50:49Z |
| format | Article |
| id | iium-37997 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:50:49Z |
| publishDate | 2014 |
| publisher | Pleiades Publishing, Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-379972015-03-19T06:57:38Z http://irep.iium.edu.my/37997/ On relation between algebraic and ordinary differential algebraic invariants of motion groups Bekbaev, Ural QA Mathematics As applied to differential geometry it provides a method to describe differential algebraic $H$-invariants of paths by the use of algebraic $H$-invariants, where $H$ is any subgroup of the affine group. It is shown also that a generating system of differential $H$-invariants of curves can be derived from given system of differential $H$-invariants of paths. All relations among members of the obtained generating system can be predicted as well. Pleiades Publishing, Ltd. 2014 Article PeerReviewed application/pdf en http://irep.iium.edu.my/37997/1/LOJM172.pdf Bekbaev, Ural (2014) On relation between algebraic and ordinary differential algebraic invariants of motion groups. Lobachevskii Journal of Mathematics, 35 (3). pp. 172-184. ISSN 1995-0802 (P), 1818-9962 (O) http://www.emis.de/journals/LJM/ 10.1007/978-981-4585-33-0-26 |
| spellingShingle | QA Mathematics Bekbaev, Ural On relation between algebraic and ordinary differential algebraic invariants of motion groups |
| title | On relation between algebraic and ordinary differential
algebraic invariants of motion groups |
| title_full | On relation between algebraic and ordinary differential
algebraic invariants of motion groups |
| title_fullStr | On relation between algebraic and ordinary differential
algebraic invariants of motion groups |
| title_full_unstemmed | On relation between algebraic and ordinary differential
algebraic invariants of motion groups |
| title_short | On relation between algebraic and ordinary differential
algebraic invariants of motion groups |
| title_sort | on relation between algebraic and ordinary differential
algebraic invariants of motion groups |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/37997/ http://irep.iium.edu.my/37997/ http://irep.iium.edu.my/37997/ http://irep.iium.edu.my/37997/1/LOJM172.pdf |