A new approach to curve couples with Bishop frame

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dc.contributor.authorBabadağ, Faik
dc.contributor.authorAtasoy, Ali
dc.date.accessioned2025-01-21T16:34:02Z
dc.date.available2025-01-21T16:34:02Z
dc.date.issued2024
dc.departmentKırıkkale Üniversitesi
dc.description.abstract. This paper presents a detailed study of a new generation of the Bishop frame with components including three orthogonal unit vectors, which are tangent vector, normal vector and binormal vector. It is a frame field described on a curve in Euclidean space, which is an alternative to the Frenet frame. It is useful for curves for which the second derivative is not available. Moreover, the conditions which the Bishop frame of one curve coincides with the Bishop frame of another curve are defined. It would be valuable to replicate similar approaches in the Bishop frame of one curve coincides with the Bishop frame of another curve.
dc.identifier.doi10.31801/cfsuasmas.1329210
dc.identifier.endpage683
dc.identifier.issn1303-5991
dc.identifier.issue3
dc.identifier.startpage674
dc.identifier.trdizinid1267122
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.1329210
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay1267122
dc.identifier.urihttps://hdl.handle.net/20.500.12587/23898
dc.identifier.volume73
dc.identifier.wosWOS:001369660100003
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherAnkara Univ, Fac Sci
dc.relation.ispartofCommunications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectBishop frame; frame; curvature; regular curve; position vector
dc.titleA new approach to curve couples with Bishop frame
dc.typeArticle

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