Eikonal slant helices and Eikonal Darboux helices in 3-dimensional Riemannian manifold
| dc.contributor.author | Önder M. | |
| dc.contributor.author | Ziplar E. | |
| dc.contributor.author | Kaya O. | |
| dc.date.accessioned | 2025-04-10T11:13:24Z | |
| dc.date.available | 2025-04-10T11:13:24Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | In this study, we give the definitions and characterizations of Eikonal slant helices, Eikonal Darboux helices and non-modified Eikonal Darboux helices in 3-dimensional Riemannian manifold M3. We show that every Eikonal slant helix is also an Eikonal Darboux helix. Furthermore, we obtain that if the curve α is a non-modified Eikonal Darboux helix, then α is an Eikonal slant helix if and only if κ2 + τ2 = constant, where κ and τ are curvature and torsion of α, respectively. © World Scientific Publishing Company. | |
| dc.identifier.DOI-ID | 10.1142/S0219887814500455 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.14701/49874 | |
| dc.publisher | World Scientific Publishing Co. Pte Ltd | |
| dc.title | Eikonal slant helices and Eikonal Darboux helices in 3-dimensional Riemannian manifold | |
| dc.type | Article |