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SOME SPECIAL SMARANDACHE RULED SURFACES BY FRENET FRAME IN E3-II

MakaleYalnız künye

Özet

In this study, firstly Smarandache ruled surfaces whose base curves are Smarandache curves derived from Frenet vectors of the curve, and whose direction vectors are unit vectors plotting Smarandache curves, are created. Then, the Gaussian and mean curvatures of the obtained ruled surfaces are calculated separately, and the conditions to be developable or minimal for the surfaces are given. Finally, the examples are given for each surface and the graphs of these surfaces are drawn.

Anahtar Kelimeler

Smarandache curveruled surfacesmean curvatureGaussian curvatureViviani?s curve
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/16211Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.5831/hmj.2022.44.4.594Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorSenyurt, Suleyman
dc.contributor.authorCanli, Davut
dc.contributor.authorCan, Elif
dc.contributor.authorMazlum, Sumeyye Gur
dc.date.accessioned2026-10-22T10:29:05.134456370Z
dc.date.available2026-10-22T10:29:05.134456370Z
dc.date.issued2022-12
dc.description.abstractIn this study, firstly Smarandache ruled surfaces whose base curves are Smarandache curves derived from Frenet vectors of the curve, and whose direction vectors are unit vectors plotting Smarandache curves, are created. Then, the Gaussian and mean curvatures of the obtained ruled surfaces are calculated separately, and the conditions to be developable or minimal for the surfaces are given. Finally, the examples are given for each surface and the graphs of these surfaces are drawn.
dc.identifier.doi10.5831/hmj.2022.44.4.594
dc.identifier.eissn2288-6176
dc.identifier.endpage617
dc.identifier.issn1225-293X
dc.identifier.issue4
dc.identifier.startpage594
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/16211
dc.identifier.volume44
dc.identifier.wosWOS:000932958000009
dc.language.isoen
dc.publisherHONAM MATHEMATICAL SOC
dc.relation.ispartofHONAM MATHEMATICAL JOURNAL
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectSmarandache curve
dc.subjectruled surfaces
dc.subjectmean curvature
dc.subjectGaussian curvature
dc.subjectViviani?s curve
dc.subject.classificationMathematics
dc.subject.otherHELICES
dc.titleSOME SPECIAL SMARANDACHE RULED SURFACES BY FRENET FRAME IN E3-II
dc.typeArticle
dspace.entity.typePublication
rdl.citation.wos5
rdl.oa.statusclosed
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)