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dc.contributor.authorGrbović Ćirić, Milica-
dc.contributor.authorDjordjević, Jelena-
dc.contributor.authorNešović, Emilija-
dc.date.accessioned2024-05-14T08:34:49Z-
dc.date.available2024-05-14T08:34:49Z-
dc.date.issued2024-
dc.identifier.issn1307-5624en_US
dc.identifier.urihttps://scidar.kg.ac.rs/handle/123456789/20750-
dc.description.abstractIn this paper, we introduce generalized Darboux frames of the first and the second kind alonga null Cartan curve lying on a timelike surface in Minkowski space E31 and define null Cartan rectifying isophotic and rectifying silhouette curves in terms of the vector field that belongs to generalized Darboux frame of the first kind. We investigate null Cartan rectifying isophotic and rectifying silhouette curves with constant geodesic curvature kg and geodesic torsion τg and obtain the parameter equations of their axes. We prove that such curves are the null Cartan helices and the null Cartan cubics. We show that the introduced curves with a non-zero constant curvatures kg and τg are general helices, relatively normal-slant helices and isophotic curves with respect to the same axis. In particular, we find that null Cartan cubic lying on a timelike surface is rectifying isophotic and rectifying silhouette curve having a spacelike and a lightlike axis. Finally, we give some examples.en_US
dc.description.urihttps://dergipark.org.tr/en/pub/iejg/issue/84071/1447199en_US
dc.language.isoenen_US
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.sourceInternational Electronic Journal of Geometry-
dc.subjectGeneralized Darboux frame, null Cartan curve, rectifying isophotic curve, rectifying silhouette curve.en_US
dc.titleOn Null Cartan Rectifying Isophotic and Rectifying Silhouette Curves Lying on a Timelike Surface in Minkowski Space $\mathbb{E}^3_1$en_US
dc.typearticleen_US
dc.description.versionPublisheden_US
dc.identifier.doi10.36890/iejg.1447199en_US
dc.type.versionPublishedVersionen_US
Налази се у колекцијама:Faculty of Science, Kragujevac

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