RULED SURFACES GENERATED BY SALKOWSKI CURVE AND ITS FRENET VECTORS IN EUCLIDEAN 3-SPACE

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Özet

In present study, we introduce ruled surfaces whose base curve is the Salkowski curve in Euclidean 3-space and whose generating lines consist of the Frenet vectors of this curve (tangent, principal normal and binormal vectors). Then, we produce regular surfaces from a vector with real coefficients, which is a linear com-bination of these vectors, and we examine some special cases for these surfaces. Moreover, we present some geometric properties and graphics of all these surfaces.

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https://rdlopen.rawdatalibrary.net/r/gumushane/14357Resmi atıflarda kullanılan kalıcı adres
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https://doi.org/10.11568/kjm.2024.32.2.259Yayıncı resmi DOI adresi
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AlanDeğerDil
dc.contributor.authorÇakıl, Ebru
dc.contributor.authorMazlum, Sümeyye Gür
dc.date.accessioned2026-10-22T10:22:36.622548375Z
dc.date.available2026-10-22T10:22:36.622548375Z
dc.date.issued2024
dc.description.abstractIn present study, we introduce ruled surfaces whose base curve is the Salkowski curve in Euclidean 3-space and whose generating lines consist of the Frenet vectors of this curve (tangent, principal normal and binormal vectors). Then, we produce regular surfaces from a vector with real coefficients, which is a linear com-bination of these vectors, and we examine some special cases for these surfaces. Moreover, we present some geometric properties and graphics of all these surfaces.
dc.identifier.doi10.11568/kjm.2024.32.2.259
dc.identifier.eissn2288-1433
dc.identifier.endpage284
dc.identifier.issn1976-8605
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85198645673
dc.identifier.startpage259
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/14357
dc.identifier.volume32
dc.identifier.wosWOS:001266085500006
dc.language.isoen
dc.publisherKangwon Kyungki Mathematical Society
dc.relation.ispartofKorean Journal of Mathematics
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectasymptotic plane
dc.subjectdistribution parameter
dc.subjectruled surface
dc.subjectSalkowski curves
dc.subjectstriction curve
dc.subjecttangent plane
dc.subject.classificationMathematics
dc.subject.otherSLANT HELICES
dc.subject.otherCURVATURE
dc.titleRULED SURFACES GENERATED BY SALKOWSKI CURVE AND ITS FRENET VECTORS IN EUCLIDEAN 3-SPACE
dc.typeArticle
rdl.citation.openalex0
rdl.citation.scopus1
rdl.citation.wos1
rdl.oa.statusclosed
rdl.scopus.quartileQ3
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)