Curves Lying on Non-lightlike Surface: Differential Equation for Position Vector

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dc.contributor.authorErdogdu, Melek
dc.date.accessioned2024-02-23T14:41:22Z
dc.date.available2024-02-23T14:41:22Z
dc.date.issued2022
dc.departmentNEÜen_US
dc.description.abstractThe main purpose of this study is to examine curves lying on a given non-lightlike surface with the help of its position vectors. For this purpose, the darboux frame is used and the position vector of the curve is expressed as a linear combination of the darboux frame with differentiable functions. Then, nonhomogeneous systems of differential equations revealed by the position vector of the curve are obtained for timelike and spacelike surfaces, respectively. For both timelike and spacelike surfaces, the solutions of nonhomogeneous systems of differential equations are obtained depending on the character of the curves and the values kg, kn and tr. The general solutions of the systems of differential equations are obtained separately for each case. Moreover, by considering only the particular solution of the systems of differential equations, new results regarding the differential geometric structure of the curves on the surface are presented with the help of the position vector.en_US
dc.identifier.doi10.52280/pujm.2022.540301
dc.identifier.endpage162en_US
dc.identifier.issn1016-2526
dc.identifier.issue3en_US
dc.identifier.startpage149en_US
dc.identifier.urihttps://doi.org/10.52280/pujm.2022.540301
dc.identifier.urihttps://hdl.handle.net/20.500.12452/16831
dc.identifier.volume54en_US
dc.identifier.wosWOS:000782844500001en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherUniv Punjab, Dept Mathematicsen_US
dc.relation.ispartofPunjab University Journal Of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDarboux Frameen_US
dc.subjectNonhomogeneous Systems Of Differential Equationsen_US
dc.titleCurves Lying on Non-lightlike Surface: Differential Equation for Position Vectoren_US
dc.typeArticleen_US

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