On pseudo null and null cartan darboux helices in minkowski 3-space
In this paper, we introduce the notion of pseudo null and null Cartan Darboux helicesin Minkowski 3-space. We characterize the Darboux vectors of the pseudo null andthe null Cartan curves in terms of the Darboux helices and the rectifying curves. Wefind an explicit parameter equation of a pseudo nul...
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| Format: | Article |
| Language: | English |
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Elsevier
2016-05-01
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| Series: | Kuwait Journal of Science |
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| Online Access: | https://journalskuwait.org/kjs/index.php/KJS/article/view/705 |
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| _version_ | 1849471122085511168 |
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| author | Ufuk Öztürk Emilija Nešović |
| author_facet | Ufuk Öztürk Emilija Nešović |
| author_sort | Ufuk Öztürk |
| collection | DOAJ |
| description | In this paper, we introduce the notion of pseudo null and null Cartan Darboux helicesin Minkowski 3-space. We characterize the Darboux vectors of the pseudo null andthe null Cartan curves in terms of the Darboux helices and the rectifying curves. Wefind an explicit parameter equation of a pseudo null curve of constant precession andprove that there are no null Cartan curves of constant precession. Finally, we givesome examples. |
| format | Article |
| id | doaj-art-eefd7a9f76c4402d99153688b63fd7f4 |
| institution | Kabale University |
| issn | 2307-4108 2307-4116 |
| language | English |
| publishDate | 2016-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Kuwait Journal of Science |
| spelling | doaj-art-eefd7a9f76c4402d99153688b63fd7f42025-08-20T03:24:56ZengElsevierKuwait Journal of Science2307-41082307-41162016-05-01432277On pseudo null and null cartan darboux helices in minkowski 3-spaceUfuk Öztürk0Emilija Nešović1Faculty of Science Cankiri Karatekin University TURKEYFaculty of Science University of Kragujevac SERBIAIn this paper, we introduce the notion of pseudo null and null Cartan Darboux helicesin Minkowski 3-space. We characterize the Darboux vectors of the pseudo null andthe null Cartan curves in terms of the Darboux helices and the rectifying curves. Wefind an explicit parameter equation of a pseudo null curve of constant precession andprove that there are no null Cartan curves of constant precession. Finally, we givesome examples.https://journalskuwait.org/kjs/index.php/KJS/article/view/705Darboux helixDarboux vectornull Cartan curvePseudo null curverectifying curve. |
| spellingShingle | Ufuk Öztürk Emilija Nešović On pseudo null and null cartan darboux helices in minkowski 3-space Kuwait Journal of Science Darboux helix Darboux vector null Cartan curve Pseudo null curve rectifying curve. |
| title | On pseudo null and null cartan darboux helices in minkowski 3-space |
| title_full | On pseudo null and null cartan darboux helices in minkowski 3-space |
| title_fullStr | On pseudo null and null cartan darboux helices in minkowski 3-space |
| title_full_unstemmed | On pseudo null and null cartan darboux helices in minkowski 3-space |
| title_short | On pseudo null and null cartan darboux helices in minkowski 3-space |
| title_sort | on pseudo null and null cartan darboux helices in minkowski 3 space |
| topic | Darboux helix Darboux vector null Cartan curve Pseudo null curve rectifying curve. |
| url | https://journalskuwait.org/kjs/index.php/KJS/article/view/705 |
| work_keys_str_mv | AT ufukozturk onpseudonullandnullcartandarbouxhelicesinminkowski3space AT emilijanesovic onpseudonullandnullcartandarbouxhelicesinminkowski3space |