Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E3
In this paper, we introduce original definitions of Smarandache ruled surfaces according to Frenet-Serret frame of a curve in E3. It concerns TN-Smarandache ruled surface, TB-Smarandache ruled surface, and NB-Smarandache ruled surface. We investigate theorems that give necessary and sufficient condi...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2021/5526536 |
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| _version_ | 1832550106820247552 |
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| author | Soukaina Ouarab |
| author_facet | Soukaina Ouarab |
| author_sort | Soukaina Ouarab |
| collection | DOAJ |
| description | In this paper, we introduce original definitions of Smarandache ruled surfaces according to Frenet-Serret frame of a curve in E3. It concerns TN-Smarandache ruled surface, TB-Smarandache ruled surface, and NB-Smarandache ruled surface. We investigate theorems that give necessary and sufficient conditions for those special ruled surfaces to be developable and minimal. Furthermore, we present examples with illustrations. |
| format | Article |
| id | doaj-art-efbe2328f6524206a0d224e3727d75ee |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-efbe2328f6524206a0d224e3727d75ee2025-02-03T06:07:43ZengWileyAbstract and Applied Analysis1085-33751687-04092021-01-01202110.1155/2021/55265365526536Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E3Soukaina Ouarab0Department of Mathematics and Computer Science, Hassan II University of Casablanca, Ben M’sik Faculty of Sciences, MoroccoIn this paper, we introduce original definitions of Smarandache ruled surfaces according to Frenet-Serret frame of a curve in E3. It concerns TN-Smarandache ruled surface, TB-Smarandache ruled surface, and NB-Smarandache ruled surface. We investigate theorems that give necessary and sufficient conditions for those special ruled surfaces to be developable and minimal. Furthermore, we present examples with illustrations.http://dx.doi.org/10.1155/2021/5526536 |
| spellingShingle | Soukaina Ouarab Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E3 Abstract and Applied Analysis |
| title | Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E3 |
| title_full | Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E3 |
| title_fullStr | Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E3 |
| title_full_unstemmed | Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E3 |
| title_short | Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E3 |
| title_sort | smarandache ruled surfaces according to frenet serret frame of a regular curve in e3 |
| url | http://dx.doi.org/10.1155/2021/5526536 |
| work_keys_str_mv | AT soukainaouarab smarandacheruledsurfacesaccordingtofrenetserretframeofaregularcurveine3 |