Generalized Rectifying Ruled Surfaces of Special Singular Curves

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dc.authorscopusid57224320063en_US
dc.authorscopusid58688139500en_US
dc.authorscopusid35390115900en_US
dc.authorwosidİŞBİLİR, Zehra/AGS-8103-2022en_US
dc.contributor.authorIsbilir, Zehra
dc.contributor.authorYazici, Bahar Dogan
dc.contributor.authorTosun, Murat
dc.date.accessioned2024-08-23T16:03:43Z
dc.date.available2024-08-23T16:03:43Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this study, generalized rectifying ruled surfaces of Frenet-type framed base curves in the three-dimensional Euclidean space are introduced. These surfaces are a generalization of not only the tangent and binormal surfaces of Frenet-type framed base curves, but also the tangent and binormal surfaces of regular curves. Additionally, we present some geometric characterizations and properties of these surfaces. Then, the singular point classes of the surface are scrutinized and the conditions for being a cross-cap surface are stated. Moreover, generalized rectifying surfaces are examined as framed surfaces by using the framed surface theory, and we investigate the basic invariants and curvatures of them. Then, several illustrative examples with figures are given to support the theorems and results.en_US
dc.identifier.doi10.2478/auom-2023-0038
dc.identifier.endpage206en_US
dc.identifier.issn1224-1784
dc.identifier.issn1844-0835
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85176272929en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage177en_US
dc.identifier.urihttps://doi.org/10.2478/auom-2023-0038
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13881
dc.identifier.volume31en_US
dc.identifier.wosWOS:001098137700011en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherOvidius Univ Pressen_US
dc.relation.ispartofAnalele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematicaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFramed surfacesen_US
dc.subjectFrenet-type framed base curvesen_US
dc.subjectgeneralized rectifying ruled surfacesen_US
dc.subjectFramed Base Curvesen_US
dc.subjectDevelopable Surfacesen_US
dc.titleGeneralized Rectifying Ruled Surfaces of Special Singular Curvesen_US
dc.typeArticleen_US

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