Generalized normal ruled surface of a curve in the Euclidean 3-space
| dc.contributor.author | Kaya O. | |
| dc.contributor.author | Önder M. | |
| dc.date.accessioned | 2024-07-22T08:05:46Z | |
| dc.date.available | 2024-07-22T08:05:46Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | In this study, we define the generalized normal ruled surface of a curve in the Euclidean 3-space E3. We study the geometry of such surfaces by calculating the Gaussian and mean curvatures to determine when the surface is flat or minimal (equivalently, helicoid). We examine the conditions for the curves lying on this surface to be asymptotic curves, geodesics or lines of curvature. Finally, we obtain the Frenet vectors of generalized normal ruled surface and get some relations with helices and slant ruled surfaces and we give some examples for the obtained results. © 2021 Onur Kaya et al., published by Sciendo. | |
| dc.identifier.DOI-ID | 10.2478/ausm-2021-0013 | |
| dc.identifier.issn | 18446094 | |
| dc.identifier.uri | http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/13255 | |
| dc.language.iso | English | |
| dc.publisher | Sciendo | |
| dc.rights | All Open Access; Gold Open Access | |
| dc.title | Generalized normal ruled surface of a curve in the Euclidean 3-space | |
| dc.type | Article |