A study of the tubular surfaces constructed by the spherical indicatrices in Euclidean 3-space

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dc.contributor.authorAtes, Fatma
dc.contributor.authorKocakusakli, Erdem
dc.contributor.authorGok, Ismail
dc.contributor.authorYayli, Yusuf
dc.date.accessioned2024-02-23T14:37:21Z
dc.date.available2024-02-23T14:37:21Z
dc.date.issued2018
dc.departmentNEÜen_US
dc.description.abstractA basic goal of this paper is to investigate the tubular surface constructed by the spherical indicatrices of any spatial curve in the Euclidean 3-space. This kind of tubular surface is designed for the alternative moving frame {N, C, W} in conjunction with finding a relationship between the tubular surfaces and their special curves, such as geodesic curves, asymptotic curves, and minimal curves. The minimal curve gamma on a surface is defined by the property that its fundamental coefficients satisfy Eq. (3.7) along the curve gamma. At the end of this article, we exemplify these curves on the tubular surfaces with their figures using the program Mathematica.en_US
dc.identifier.doi10.3906/mat-1610-101
dc.identifier.endpage1725en_US
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85050721493en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1711en_US
dc.identifier.urihttps://doi.org/10.3906/mat-1610-101
dc.identifier.urihttps://hdl.handle.net/20.500.12452/16064
dc.identifier.volume42en_US
dc.identifier.wosWOS:000439579600013en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTubitak Scientific & Technological Research Council Turkeyen_US
dc.relation.ispartofTurkish Journal Of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectTubular Surfaceen_US
dc.subjectIndicatrix Curveen_US
dc.subjectMinimal Curveen_US
dc.titleA study of the tubular surfaces constructed by the spherical indicatrices in Euclidean 3-spaceen_US
dc.typeArticleen_US

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