On rectifying ruled surfaces
In this study, we define general rectifying ruled surfaces in the Euclidean 3-space E^3. We give some characterizations of rectifying ruled surfaces by considering the curvatures of base curve. We obtain the Gaussian curvature and the mean curvature of a general rectifying ruled surface and we inve...
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| Format: | Article |
| Language: | English |
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Elsevier
2020-10-01
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| Series: | Kuwait Journal of Science |
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| Online Access: | https://journalskuwait.org/kjs/index.php/KJS/article/view/8604 |
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| _version_ | 1849471126101557248 |
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| author | Mehmet Önder Tanju Kahraman |
| author_facet | Mehmet Önder Tanju Kahraman |
| author_sort | Mehmet Önder |
| collection | DOAJ |
| description |
In this study, we define general rectifying ruled surfaces in the Euclidean 3-space E^3. We give some characterizations of rectifying ruled surfaces by considering the curvatures of base curve. We obtain the Gaussian curvature and the mean curvature of a general rectifying ruled surface and we investigate the condition for the surface to be minimal. Moreover, we give characterizations for some special curves lying on this surface. Finally, we obtain the relationships between rectifying ruled surfaces and slant ruled surfaces.
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| format | Article |
| id | doaj-art-fa72d0bcea504722a148f1af4b1dc744 |
| institution | Kabale University |
| issn | 2307-4108 2307-4116 |
| language | English |
| publishDate | 2020-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Kuwait Journal of Science |
| spelling | doaj-art-fa72d0bcea504722a148f1af4b1dc7442025-08-20T03:24:56ZengElsevierKuwait Journal of Science2307-41082307-41162020-10-01474On rectifying ruled surfacesMehmet Önder0Tanju Kahraman1Independent ResearcherDept. of Mathematics, Manisa Celal Bayar University, Muradiye, Manisa, 45140, Turkey. In this study, we define general rectifying ruled surfaces in the Euclidean 3-space E^3. We give some characterizations of rectifying ruled surfaces by considering the curvatures of base curve. We obtain the Gaussian curvature and the mean curvature of a general rectifying ruled surface and we investigate the condition for the surface to be minimal. Moreover, we give characterizations for some special curves lying on this surface. Finally, we obtain the relationships between rectifying ruled surfaces and slant ruled surfaces. https://journalskuwait.org/kjs/index.php/KJS/article/view/8604Rectifying surfaceminimal surfaceslant helixslant ruled surface. |
| spellingShingle | Mehmet Önder Tanju Kahraman On rectifying ruled surfaces Kuwait Journal of Science Rectifying surface minimal surface slant helix slant ruled surface. |
| title | On rectifying ruled surfaces |
| title_full | On rectifying ruled surfaces |
| title_fullStr | On rectifying ruled surfaces |
| title_full_unstemmed | On rectifying ruled surfaces |
| title_short | On rectifying ruled surfaces |
| title_sort | on rectifying ruled surfaces |
| topic | Rectifying surface minimal surface slant helix slant ruled surface. |
| url | https://journalskuwait.org/kjs/index.php/KJS/article/view/8604 |
| work_keys_str_mv | AT mehmetonder onrectifyingruledsurfaces AT tanjukahraman onrectifyingruledsurfaces |