Generalized osculating curves of type (n-3) in the n-dimensional Euclidean space

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dc.contributor.authorBekiryazıcı, Zafer
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2022-12-26T11:43:47Z
dc.date.available2022-12-26T11:43:47Z
dc.date.issued2022
dc.description.abstractIn this paper, we give a generalization of the osculating curves to the n -dimensional Euclidean space. Based on the definition of an osculating curve in the 3 and 4 dimensional Euclidean spaces, a new type of osculating curve has been defined such that the curve is independent of the ( n − 3 ) th binormal vector in the n-dimensional Euclidean space, which has been called ”a generalized osculating curve of type ( n − 3 ) ”. We find the relationship between the curvatures for any unit speed curve to be congruent to this osculating curve in E n . In particular, we characterize the osculating curves in E n in terms of their curvature functions. Finally, we show that the ratio of the ( n − 1 ) th and ( n − 2 ) th curvatures of the osculating curve is the solution of an ( n − 2 ) th order linear nonhomogeneous differential equation.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage222tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue1tr_TR
dc.identifier.startpage212tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.845845tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86476
dc.identifier.volume71tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.845845tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectOsculating curve, curvatures, unit speed curve, higher order linear differential equationtr_TR
dc.titleGeneralized osculating curves of type (n-3) in the n-dimensional Euclidean spacetr_TR
dc.typeArticletr_TR

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Cilt:71 Sayı:01 (2022)