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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2020-10-01
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| Series: | Kuwait Journal of Science |
| Subjects: | |
| Online Access: | https://journalskuwait.org/kjs/index.php/KJS/article/view/8604 |
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| Summary: | 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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| ISSN: | 2307-4108 2307-4116 |