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)
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Abstract
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.
| Item Type: | Conference or Workshop Item (Lecture) |
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| Additional Information: | Indexed by Scopus |
| Uncontrolled Keywords: | cyclic net of Frenet; Frenet frame; Immovability of line; Partial mapping; Pseudofocus |
| Subjects: | Q Science > QA Mathematics |
| Faculty/Division: | Center for Mathematical Science |
| Depositing User: | Mrs Norsaini Abdul Samat |
| Date Deposited: | 08 May 2023 06:49 |
| Last Modified: | 08 May 2023 06:49 |
| URI: | http://umpir.ump.edu.my/id/eprint/29805 |
| Download Statistic: | View Download Statistics |
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