Açık Akademik Arşiv Sistemi

Generalized Rectifying Ruled Surfaces of Special Singular Curves

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dc.contributor.authors Isbilir, Zehra; Yazici, Bahar Dogan; Tosun, Murat
dc.date.accessioned 2024-02-23T11:14:14Z
dc.date.available 2024-02-23T11:14:14Z
dc.date.issued 2023
dc.identifier.issn 1224-1784
dc.identifier.uri http://dx.doi.org/10.2478/auom-2023-0038
dc.identifier.uri https://hdl.handle.net/20.500.12619/102078
dc.description Bu yayının lisans anlaşması koşulları tam metin açık erişimine izin vermemektedir.
dc.description.abstract In 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.
dc.language.iso English
dc.relation.isversionof 10.2478/auom-2023-0038
dc.subject FRAMED BASE CURVES
dc.subject DEVELOPABLE SURFACES
dc.title Generalized Rectifying Ruled Surfaces of Special Singular Curves
dc.type Article
dc.contributor.authorID İşbilir, Zehra/0000-0001-5414-5887
dc.identifier.volume 31
dc.identifier.startpage 177
dc.identifier.endpage 206
dc.relation.journal AN STI U OVID CO-MAT
dc.identifier.issue 3
dc.identifier.doi 10.2478/auom-2023-0038
dc.identifier.eissn 1844-0835
dc.contributor.author Isbilir, Z
dc.contributor.author Yazici, BD
dc.contributor.author Tosun, M
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı


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