Constructing $k$-Slant Curves in Three Dimensional Euclidean Spaces
| dc.contributor.author | Camcı, Çetin | |
| dc.date.accessioned | 2025-05-29T05:37:08Z | |
| dc.date.available | 2025-05-29T05:37:08Z | |
| dc.date.issued | 2025 | |
| dc.department | Çanakkale Onsekiz Mart Üniversitesi | |
| dc.description.abstract | Helices and constant procession curves are special examples of slant curves. However, there is no example of a $k$-slant curve for a positive integer $k\geq 2$ in three dimensional Euclidean spaces. Furthermore, the position vector of a $k$-slant curve for a positive integer $k\geq 2$ has not been known thus far. In this paper, we propose a method for constructing $k$-slant curves in three dimensional Euclidean spaces. We then show that spherical $k$-slant curves and $N_{k}$-constant procession curves can be derived from circles, for $k \in \mathbb{N}$, the set of all nonnegative integers. In addition, we provide a new proof of the spherical curve characterization and define a curve in the sphere called a spherical prime curve. Afterward, we apply $k$-slant curves to magnetic curves. Finally, we discuss the need for further research. | |
| dc.identifier.doi | 10.53570/jnt.1647509 | |
| dc.identifier.endpage | 115 | |
| dc.identifier.issn | 2149-1402 | |
| dc.identifier.issue | 50 | |
| dc.identifier.startpage | 98 | |
| dc.identifier.uri | https://doi.org/10.53570/jnt.1647509 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12428/31617 | |
| dc.institutionauthor | Camcı, Çetin | |
| dc.language.iso | en | |
| dc.publisher | Naim ÇAĞMAN | |
| dc.relation.ispartof | Journal of New Theory | |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_DergiPark_20250529 | |
| dc.subject | General helices | |
| dc.subject | spherical curves | |
| dc.subject | slant curves | |
| dc.title | Constructing $k$-Slant Curves in Three Dimensional Euclidean Spaces | |
| dc.type | Research Article |
