Eikonal slant helices and Eikonal Darboux helices in 3-dimensional Riemannian manifold

dc.contributor.authorÖnder, M
dc.contributor.authorZiplar, E
dc.contributor.authorKaya, O
dc.date.accessioned2025-04-10T10:34:11Z
dc.date.available2025-04-10T10:34:11Z
dc.description.abstractIn 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 M-3. We show that every Eikonal slant helix is also an Eikonal Darboux helix. Furthermore, we obtain that if the curve a is a non-modified Eikonal Darboux helix, then a is an Eikonal slant helix if and only if K-2 + T-2 = constant, where K and T are curvature and torsion of alpha, respectively.
dc.identifier.e-issn1793-6977
dc.identifier.issn0219-8878
dc.identifier.urihttp://hdl.handle.net/20.500.14701/40369
dc.language.isoEnglish
dc.titleEikonal slant helices and Eikonal Darboux helices in 3-dimensional Riemannian manifold
dc.typeArticle

Files