Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/17678
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dc.contributor.authorNesovic, Emilija-
dc.contributor.authorÖZTÜRK, UFUK-
dc.contributor.authorDjordjevic, Jelena-
dc.date.accessioned2023-05-15T10:59:14Z-
dc.date.available2023-05-15T10:59:14Z-
dc.date.issued2023-
dc.identifier.issn1300-0098en_US
dc.identifier.urihttps://scidar.kg.ac.rs/handle/123456789/17678-
dc.description.abstractIn this paper we introduce generalized Darboux frame of a spacelike curve α lying on a lightlike surface in Minkowski space E31 . We prove that α has two such frames and obtain generalized Darboux frame’s equations. We find the relations between the curvature functions kg , kn , τg of α with respect to its Darboux frame and the curvature functions ˜kg , ˜kn , ˜τg with respect to generalized Darboux frames. We show that such frames exist along a spacelike straight line lying on a ruled surface which is not entirely lightlike, but contains some lightlike points. We define lightlike ruled surfaces on which the tangent and the binormal indicatrix of a null Cartan curve are the principal curvature lines having ˜τg = 0 and give some examples.en_US
dc.language.isoenen_US
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.sourceTurkish Journal of Mathematics-
dc.subjectGeneralized Darboux frame, spacelike curve, Darboux frame, lightlike surface, Minkowski spaceen_US
dc.titleOn generalized Darboux frame of a spacelike curve lying on a lightlike surface in Minkowski space $\mathbb{E}^{3}_{1}$en_US
dc.typearticleen_US
dc.identifier.doi10.55730/1300-0098.3399en_US
dc.identifier.scopus2-s2.0-85151915561-
Appears in Collections:Faculty of Science, Kragujevac

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