Generalized ruled surfaces in Myller configuration

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dc.contributor.authorIsbilir, Zehra
dc.contributor.authorDoğan Yazıcı, Bahar
dc.contributor.authorTosun, Murat
dc.date.accessioned2025-10-11T20:45:30Z
dc.date.available2025-10-11T20:45:30Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this paper, we introduce a quite big ruled surface family, which is called generalized ruled surfaces with Frenet-type frame in Myller configuration for Euclidean 3-space. This paper especially improves the theory of surfaces with respect to ruled surfaces and presents the relationships between the usual theory of curves and the theory of surfaces with Myller configuration. We investigate some special type ruled surfaces, such as rectifying-type ruled surfaces, osculating-type ruled surfaces, tangent-type ruled surfaces and trajectory ruled surfaces with Frenet-type frame in Myller configuration for E<inf>3</inf> . We also give some particular cases of these ruled surfaces, as well. Since the geometry of versor fields along a curve with Frenet-type frame in Myller configuration for E<inf>3</inf> is a generalization of the usual theory of curves in classical Euclidean space, the surface theory of versor fields along a curve with Frenet-type frame in Myller configuration for E<inf>3</inf> is a generalization of the usual theory of surfaces in classical Euclidean space, as well. Then, we establish some numerical examples with some illustrative figures with respect to the ruled surfaces in Myller configuration in order to solidify and concretize the given results. © 2025 Elsevier B.V., All rights reserved.en_US
dc.identifier.doi10.2298/FIL2515253I
dc.identifier.endpage5272en_US
dc.identifier.issn0354-5180
dc.identifier.issue15en_US
dc.identifier.scopus2-s2.0-105017029818en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage5253en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2515253I
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21363
dc.identifier.volume39en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniversity of Nisen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKA_Scopus_20250911
dc.subjectFrenet-type Frameen_US
dc.subjectMyller Configurationen_US
dc.subjectRuled Surfaceen_US
dc.subjectSpecial Curvesen_US
dc.titleGeneralized ruled surfaces in Myller configurationen_US
dc.typeArticleen_US

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