Pedal curves obtained from Frenet vector of a space curve and Smarandache curves belonging to these curves

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dc.authoridCANLI, DAVUT/0000-0003-0405-9969
dc.contributor.authorSenyurt, Suleyman
dc.contributor.authorKaya, Filiz Ertem
dc.contributor.authorCanli, Davut
dc.date.accessioned2024-11-07T13:34:26Z
dc.date.available2024-11-07T13:34:26Z
dc.date.issued2024
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractIn this study, first the pedal curves as the geometric locus of perpendicular projections to the Frenet vectors of a space curve were defined and the Frenet vectors, curvature, and torsion of these pedal curves were calculated. Second, for each pedal curve, Smarandache curves were defined by taking the Frenet vectors as position vectors. Finally, the expressions of Frenet vectors, curvature, and torsion related to the main curves were obtained for each Smarandache curve. Thus, new curves were added to the curve family.
dc.identifier.doi10.3934/math.2024981
dc.identifier.endpage20162
dc.identifier.issn2473-6988
dc.identifier.issue8
dc.identifier.scopus2-s2.0-85196559236
dc.identifier.scopusqualityQ2
dc.identifier.startpage20136
dc.identifier.urihttps://doi.org/10.3934/math.2024981
dc.identifier.urihttps://hdl.handle.net/11480/15960
dc.identifier.volume9
dc.identifier.wosWOS:001251791200007
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241106
dc.subjectpedal curves
dc.subjectFrenet apparatus
dc.subjectT -pedal curve
dc.subjectN -pedal curve
dc.subjectB -pedal curve
dc.subjectSmarandache curves
dc.titlePedal curves obtained from Frenet vector of a space curve and Smarandache curves belonging to these curves
dc.typeArticle

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