Characterizations of the position vector of a surface curve in Euclidean 3-space

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dc.authoridKula, Levent/0000-0002-8208-9728
dc.contributor.authorCamci, Cetin
dc.contributor.authorKula, Levent
dc.contributor.authorIlarslan, Kazim
dc.date.accessioned2025-01-27T20:59:48Z
dc.date.available2025-01-27T20:59:48Z
dc.date.issued2011
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractIn this paper, we give some characterizations of position vector of a unit speed curve in a regular surface M subset of E-3 which always lies in the planes spanned by {T, Z}, {T, Y} and {Y, Z}, respectively, by using (curve-surface)-frame {T,Y,Z} instead of Frenet frame {T, N, B}. We characterize such curves in terms of the geodesic curvature k(g), normal curvature k(n) and geodesic torsion t(r). Furthermore, we give some characterization for the regular surface M by using the concept of transversality of surfaces in Euclidean 3-space.
dc.identifier.endpage70
dc.identifier.issn1224-1784
dc.identifier.issue3
dc.identifier.scopus2-s2.0-84856446889
dc.identifier.scopusqualityQ3
dc.identifier.startpage59
dc.identifier.urihttps://hdl.handle.net/20.500.12428/26837
dc.identifier.volume19
dc.identifier.wosWOS:000300921900005
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherOvidius Univ Press
dc.relation.ispartofAnalele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectPosition vector
dc.subject(curve-surface)-frame
dc.subjectgeodesic curvature
dc.subjectnormal curvature
dc.subjectgeodesic torsion and transversal surfaces
dc.titleCharacterizations of the position vector of a surface curve in Euclidean 3-space
dc.typeArticle

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