Existence of immovability lines of a partial mapping of Euclidean space E5
It is considered a set of smooth lines such that through a point X ∈ Ω passed one line of given set in domain Ω ⊂ E5. The moving frame is frame of Frenet for the line ω1 of the given set. Integral lines of the vector fields are formed net ∑5 of Frenet. There exists a point on the tangent of th...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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IOP Publishing
2019
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| Online Access: | http://umpir.ump.edu.my/id/eprint/29805/1/Existence%20of%20immovability%20lines%20of%20a%20partial%20mapping%20of%20Euclidean%20space.pdf |
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| author | Matieva, Gulbadan Abdullayeva, Cholpon Ahmedov, Anvarjon A. |
| author_facet | Matieva, Gulbadan Abdullayeva, Cholpon Ahmedov, Anvarjon A. |
| author_sort | Matieva, Gulbadan |
| collection | UMP |
| description | It is considered a set of smooth lines such that through a point X ∈ Ω passed one line of given set in domain Ω ⊂ E5. The moving frame is frame of Frenet for the line ω1 of the given set. Integral lines of the vector fields are formed net ∑5 of Frenet. There exists a point on the tangent of the line ∑5. When a point X is shifted in the domain Ω the point describes it's domain in E5. It is defined the partial mapping , such that . Necessary and sufficient conditions of immovability and degeneration of lines and in partial mapping are obtained. |
| first_indexed | 2024-03-06T12:46:08Z |
| format | Conference or Workshop Item |
| id | UMPir29805 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:46:08Z |
| publishDate | 2019 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | UMPir298052023-05-08T06:49:49Z http://umpir.ump.edu.my/id/eprint/29805/ Existence of immovability lines of a partial mapping of Euclidean space E5 Matieva, Gulbadan Abdullayeva, Cholpon Ahmedov, Anvarjon A. QA Mathematics It is considered a set of smooth lines such that through a point X ∈ Ω passed one line of given set in domain Ω ⊂ E5. The moving frame is frame of Frenet for the line ω1 of the given set. Integral lines of the vector fields are formed net ∑5 of Frenet. There exists a point on the tangent of the line ∑5. When a point X is shifted in the domain Ω the point describes it's domain in E5. It is defined the partial mapping , such that . Necessary and sufficient conditions of immovability and degeneration of lines and in partial mapping are obtained. IOP Publishing 2019-11-01 Conference or Workshop Item PeerReviewed pdf en cc_by http://umpir.ump.edu.my/id/eprint/29805/1/Existence%20of%20immovability%20lines%20of%20a%20partial%20mapping%20of%20Euclidean%20space.pdf Matieva, Gulbadan and Abdullayeva, Cholpon and Ahmedov, Anvarjon A. (2019) Existence of immovability lines of a partial mapping of Euclidean space E5. In: Journal of Physics: Conference Series; 2nd International Conference on Applied and Industrial Mathematics and Statistics 2019, ICoAIMS 2019 , 23 - 25 July 2019 , The Zenith Hotel, Kuantan, Pahang. pp. 1-6., 1366 (1). ISSN 1742-6588 (print); 1742-6596 (online) (Published) https://doi.org/10.1088/1742-6596/1366/1/012060 |
| spellingShingle | QA Mathematics Matieva, Gulbadan Abdullayeva, Cholpon Ahmedov, Anvarjon A. Existence of immovability lines of a partial mapping of Euclidean space E5 |
| title | Existence of immovability lines of a partial mapping of Euclidean space E5 |
| title_full | Existence of immovability lines of a partial mapping of Euclidean space E5 |
| title_fullStr | Existence of immovability lines of a partial mapping of Euclidean space E5 |
| title_full_unstemmed | Existence of immovability lines of a partial mapping of Euclidean space E5 |
| title_short | Existence of immovability lines of a partial mapping of Euclidean space E5 |
| title_sort | existence of immovability lines of a partial mapping of euclidean space e5 |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/29805/1/Existence%20of%20immovability%20lines%20of%20a%20partial%20mapping%20of%20Euclidean%20space.pdf |
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