Ruled and Rotational Surfaces Generated by Non-Null Curves with Zero Weighted Curvature in (L3, ax2

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dc.contributor.authorAltin, Mustafa
dc.contributor.authorKazan, Ahmet
dc.contributor.authorKarada, H. Bayram
dc.date.accessioned2026-06-19T06:37:39Z
dc.date.available2026-06-19T06:37:39Z
dc.date.issued2020
dc.departmentMalatya Turgut Özal Üniversitesi
dc.description.abstractIn this study, firstly we give the weighted curvatures of non-null planar curves in Lorentz-Minkowski space with density eax(2)+by(2) and obtain the planar curves whose weighted curvatures vanish in this space under the condition that the constants a and b are not zero at the same time. After giving the Frenet vectors of the non-null planar curves with zero weighted curvature in Lorentz-Minkowski space with density eax(2), we create the Smarandache curves of them. With the aid of these curves and their Smarandache curves, we get the ruled surfaces whose base curves are non-null curves of which vanishing weighted curvature and ruling curves are Smarandache curves of them. Followingly, we give some characterizations for these ruled surfaces by obtaining the mean and Gaussian curvatures, distribution parameters and striction curves of them. Also, rotational surfaces which are generated by non-null planar curves with zero weighted curvatures in Lorentz-Minkowski space E-1(3) with density eax(2) +by(2) are studied under the condition that the constants a and b are not zero at the same time. We draw the graphics of the obtained surfaces.
dc.description.sponsorshipScientific Research Projects (BAP) unit of.Inonu University (Malatya/TURKEY) [FDK-2018-1349]
dc.description.sponsorshipThis paper has been supported by Scientific Research Projects (BAP) unit of.Inonu University (Malatya/TURKEY) with the Project number FDK-2018-1349.
dc.identifier.doi10.36890/IEJG.599817
dc.identifier.endpage29
dc.identifier.issn1307-5624
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85108808453
dc.identifier.scopusqualityN/A
dc.identifier.startpage11
dc.identifier.urihttps://doi.org/10.36890/IEJG.599817
dc.identifier.urihttps://hdl.handle.net/20.500.12899/5138
dc.identifier.volume13
dc.identifier.wosWOS:000581933500002
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherInt Electronic Journal Geometry
dc.relation.ispartofInternational Electronic Journal of Geometry
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20260612
dc.subjectWeighted Curvature
dc.subjectLorentz-Minkowski Space
dc.subjectSpacelike And Timelike Curves
dc.subjectRuled Surface
dc.subjectRotational Surface
dc.titleRuled and Rotational Surfaces Generated by Non-Null Curves with Zero Weighted Curvature in (L3, ax2
dc.typeArticle

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