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The Ruled Surface Obtained by the Natural Mate Curve

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dc.authorscopusid41861507100
dc.authorwosidGüler, Fatma/Mfj-0925-2025
dc.contributor.authorGüler, Fatma
dc.date.accessioned2025-12-11T00:38:26Z
dc.date.issued2023
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Guler, Fatma] Ondokuz Mayis Univ, Arts & Sci Fac, Dept Math, TR-55139 Samsun, Turkiyeen_US
dc.description.abstractThe natural mate curve r1 of r is defined the integral of principal normal vector with any parameter s, of a curve r. We investigate the ruled surface generated by the natural mate curve of any Frenet curve r = r(s) in the Euclidean 3-space. We obtained some necessary and sufficient conditions for this surface to be developable and minimal ruled surface. We research related to be the asymptotic curve and the geodesic curve of the base curve on the ruled surface. Example of our main results are also presented.en_US
dc.description.woscitationindexEmerging Sources Citation Index
dc.identifier.doi10.5269/bspm.51670
dc.identifier.issn0037-8712
dc.identifier.issn2175-1188
dc.identifier.scopus2-s2.0-85146969624
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.5269/bspm.51670
dc.identifier.urihttps://hdl.handle.net/20.500.12712/38119
dc.identifier.volume41en_US
dc.identifier.wosWOS:000905600800031
dc.institutionauthorGüler, Fatma
dc.language.isoenen_US
dc.publisherSoc Paranaense Matematicaen_US
dc.relation.ispartofBoletim Sociedade Paranaense de Matemáticaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCurvesen_US
dc.subjectRuled Surfacesen_US
dc.subjectDevelopable Surfacesen_US
dc.subjectMinimal Surfacesen_US
dc.titleThe Ruled Surface Obtained by the Natural Mate Curveen_US
dc.typeArticleen_US
dspace.entity.typePublication

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