Please use this identifier to cite or link to this item: http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4285
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dc.contributor.authorSenyurt, Suleyman-
dc.contributor.authorCanli, Davut-
dc.contributor.authorAyvaci, Kebire Hilal-
dc.date.accessioned2024-03-15T08:36:49Z-
dc.date.available2024-03-15T08:36:49Z-
dc.date.issued2022-
dc.identifier.citationSenyurt, S., Canli, D., Ayvaci, KH. (2022). ASSOCIATED CURVES FROM A DIFFERENT POINT OF VIEW IN E3. Commun. Fac. Sci. Univ. Ank.-Ser, A1 Math. Stat, 71(3), 826-845. https://doi.org/10.31801/cfsuasmas.1026359en_US
dc.identifier.issn1303-5991-
dc.identifier.urihttp://dx.doi.org/10.31801/cfsuasmas.1026359-
dc.identifier.urihttps://www.webofscience.com/wos/woscc/full-record/WOS:000867519100016-
dc.identifier.urihttp://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4285-
dc.descriptionWoS Categories: Mathematicsen_US
dc.descriptionWeb of Science Index: Emerging Sources Citation Index (ESCI)en_US
dc.descriptionResearch Areas: Mathematicsen_US
dc.description.abstractIn this paper, tangent, principal normal and binormal wise asso-ciated curves are defined such that each of these vectors of any given curve lies on the osculating, normal and rectifying plane of its partner, respectively. For each associated curve, a new moving frame and the corresponding curva-tures are formulated in terms of Frenet frame vectors. In addition to this, the possible solutions for distance functions between the curve and its associated mate are discussed. In particular, it is seen that the involute curves belong to the family of tangent associated curves in general and the Bertrand and the Mannheim curves belong to the principal normal associated curves. Finally, as an application, we present some examples and map a given curve together with its partner and its corresponding moving frame.en_US
dc.language.isoengen_US
dc.publisherANKARA UNIV, FAC SCI-ANKARAen_US
dc.relation.isversionof10.31801/cfsuasmas.1026359en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCurve theory, special curves, associated curves, Frenet frame, Euclidean spaceen_US
dc.titleASSOCIATED CURVES FROM A DIFFERENT POINT OF VIEW IN E3en_US
dc.typearticleen_US
dc.relation.journalCOMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICSen_US
dc.contributor.departmentOrdu Üniversitesien_US
dc.contributor.authorID0000-0003-0405-9969en_US
dc.identifier.volume71en_US
dc.identifier.issue3en_US
dc.identifier.startpage826en_US
dc.identifier.endpage845en_US
Appears in Collections:Matematik

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