The Ruled Surfaces According to Bishop Frame in Minkowski 3-Space
We investigate the ruled surfaces generated by a straight line in Bishop frame moving along a spacelike curve in Minkowski 3-space. We obtain the distribution parameters, mean curvatures. We give some results and theorems related to be developable and minimal of them. Furthermore, we show that, if t...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/810640 |
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| author | Nural Yüksel |
| author_facet | Nural Yüksel |
| author_sort | Nural Yüksel |
| collection | DOAJ |
| description | We investigate the ruled surfaces generated by a straight line in Bishop frame moving along a spacelike curve in Minkowski 3-space. We obtain the distribution parameters, mean curvatures. We give some results and theorems related to be developable and minimal of them. Furthermore, we show that, if the base curve of the ruled surface is also an asymtotic curve and striction line, then the ruled surface is developable. |
| format | Article |
| id | doaj-art-67af11337e5d42acb6e171c9cf320ccf |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-67af11337e5d42acb6e171c9cf320ccf2025-08-20T02:23:49ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/810640810640The Ruled Surfaces According to Bishop Frame in Minkowski 3-SpaceNural Yüksel0Department of Mathematics, Erciyes University, 38039 Kayseri, TurkeyWe investigate the ruled surfaces generated by a straight line in Bishop frame moving along a spacelike curve in Minkowski 3-space. We obtain the distribution parameters, mean curvatures. We give some results and theorems related to be developable and minimal of them. Furthermore, we show that, if the base curve of the ruled surface is also an asymtotic curve and striction line, then the ruled surface is developable.http://dx.doi.org/10.1155/2013/810640 |
| spellingShingle | Nural Yüksel The Ruled Surfaces According to Bishop Frame in Minkowski 3-Space Abstract and Applied Analysis |
| title | The Ruled Surfaces According to Bishop Frame in Minkowski 3-Space |
| title_full | The Ruled Surfaces According to Bishop Frame in Minkowski 3-Space |
| title_fullStr | The Ruled Surfaces According to Bishop Frame in Minkowski 3-Space |
| title_full_unstemmed | The Ruled Surfaces According to Bishop Frame in Minkowski 3-Space |
| title_short | The Ruled Surfaces According to Bishop Frame in Minkowski 3-Space |
| title_sort | ruled surfaces according to bishop frame in minkowski 3 space |
| url | http://dx.doi.org/10.1155/2013/810640 |
| work_keys_str_mv | AT nuralyuksel theruledsurfacesaccordingtobishopframeinminkowski3space AT nuralyuksel ruledsurfacesaccordingtobishopframeinminkowski3space |