Quaternionic Curves Which Lie on the Special Planes in 4−Dimensional Euclidean Space E4
In this study, some curvature conditions of quaternionic curves are obtained by writing the position vectors of quaternionic curves as linear combinations of new vector fields, named as Di 1≤i≤4, that are produced from Frenet frame fields of the quaternionic curves. Also, the relations between DiDj-...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/7371913 |
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| _version_ | 1832546107959279616 |
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| author | İlim Kişi Sezgin Büyükkütük Günay Öztürk |
| author_facet | İlim Kişi Sezgin Büyükkütük Günay Öztürk |
| author_sort | İlim Kişi |
| collection | DOAJ |
| description | In this study, some curvature conditions of quaternionic curves are obtained by writing the position vectors of quaternionic curves as linear combinations of new vector fields, named as Di 1≤i≤4, that are produced from Frenet frame fields of the quaternionic curves. Also, the relations between DiDj-quaternionic curves and the rectifying quaternionic curves and the osculating quaternionic curves are presented. Moreover, the results obtained are illustrated with an example in which the new vector fields are examined. |
| format | Article |
| id | doaj-art-0d9603b366e7468d81729d52028468fd |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0d9603b366e7468d81729d52028468fd2025-02-03T07:23:45ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/7371913Quaternionic Curves Which Lie on the Special Planes in 4−Dimensional Euclidean Space E4İlim Kişi0Sezgin Büyükkütük1Günay Öztürk2Department of MathematicsGölcük Vocational School of Higher EducationDepartment of MathematicsIn this study, some curvature conditions of quaternionic curves are obtained by writing the position vectors of quaternionic curves as linear combinations of new vector fields, named as Di 1≤i≤4, that are produced from Frenet frame fields of the quaternionic curves. Also, the relations between DiDj-quaternionic curves and the rectifying quaternionic curves and the osculating quaternionic curves are presented. Moreover, the results obtained are illustrated with an example in which the new vector fields are examined.http://dx.doi.org/10.1155/2024/7371913 |
| spellingShingle | İlim Kişi Sezgin Büyükkütük Günay Öztürk Quaternionic Curves Which Lie on the Special Planes in 4−Dimensional Euclidean Space E4 Journal of Mathematics |
| title | Quaternionic Curves Which Lie on the Special Planes in 4−Dimensional Euclidean Space E4 |
| title_full | Quaternionic Curves Which Lie on the Special Planes in 4−Dimensional Euclidean Space E4 |
| title_fullStr | Quaternionic Curves Which Lie on the Special Planes in 4−Dimensional Euclidean Space E4 |
| title_full_unstemmed | Quaternionic Curves Which Lie on the Special Planes in 4−Dimensional Euclidean Space E4 |
| title_short | Quaternionic Curves Which Lie on the Special Planes in 4−Dimensional Euclidean Space E4 |
| title_sort | quaternionic curves which lie on the special planes in 4 dimensional euclidean space e4 |
| url | http://dx.doi.org/10.1155/2024/7371913 |
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