NC-Smarandache Ruled Surface and NW-Smarandache Ruled Surface according to Alternative Moving Frame in E3
In this study, original definitions of NC−Smarandache ruled surface and NW−Smarandache ruled surface according to the alternative moving frame are introduced in E3. The main results of the study are presented in theorems that give necessary and sufficient conditions for those special surfaces to be...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9951434 |
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| _version_ | 1832566437330288640 |
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| author | Soukaina Ouarab |
| author_facet | Soukaina Ouarab |
| author_sort | Soukaina Ouarab |
| collection | DOAJ |
| description | In this study, original definitions of NC−Smarandache ruled surface and NW−Smarandache ruled surface according to the alternative moving frame are introduced in E3. The main results of the study are presented in theorems that give necessary and sufficient conditions for those special surfaces to be developable and minimal. Finally, an example with illustrations is presented. |
| format | Article |
| id | doaj-art-c2fefa9323804f66a209e20c7119a1af |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-c2fefa9323804f66a209e20c7119a1af2025-02-03T01:04:10ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99514349951434NC-Smarandache Ruled Surface and NW-Smarandache Ruled Surface according to Alternative Moving Frame in E3Soukaina Ouarab0Department of Mathematics and Computer Science, Ben M’sik Faculty of Sciences, Hassan II University of Casablanca, Casablanca, MoroccoIn this study, original definitions of NC−Smarandache ruled surface and NW−Smarandache ruled surface according to the alternative moving frame are introduced in E3. The main results of the study are presented in theorems that give necessary and sufficient conditions for those special surfaces to be developable and minimal. Finally, an example with illustrations is presented.http://dx.doi.org/10.1155/2021/9951434 |
| spellingShingle | Soukaina Ouarab NC-Smarandache Ruled Surface and NW-Smarandache Ruled Surface according to Alternative Moving Frame in E3 Journal of Mathematics |
| title | NC-Smarandache Ruled Surface and NW-Smarandache Ruled Surface according to Alternative Moving Frame in E3 |
| title_full | NC-Smarandache Ruled Surface and NW-Smarandache Ruled Surface according to Alternative Moving Frame in E3 |
| title_fullStr | NC-Smarandache Ruled Surface and NW-Smarandache Ruled Surface according to Alternative Moving Frame in E3 |
| title_full_unstemmed | NC-Smarandache Ruled Surface and NW-Smarandache Ruled Surface according to Alternative Moving Frame in E3 |
| title_short | NC-Smarandache Ruled Surface and NW-Smarandache Ruled Surface according to Alternative Moving Frame in E3 |
| title_sort | nc smarandache ruled surface and nw smarandache ruled surface according to alternative moving frame in e3 |
| url | http://dx.doi.org/10.1155/2021/9951434 |
| work_keys_str_mv | AT soukainaouarab ncsmarandacheruledsurfaceandnwsmarandacheruledsurfaceaccordingtoalternativemovingframeine3 |