Publication:
A characterization of involutes and evolutes of a given curve in En

dc.contributor.authorÖztürk, Günay
dc.contributor.buuauthorArslan, Kadri
dc.contributor.buuauthorARSLAN, KADRİ
dc.contributor.buuauthorBulca, Betül
dc.contributor.buuauthorBULCA SOKUR, BETÜL
dc.contributor.departmentBursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.
dc.contributor.orcid0000-0002-1440-7050
dc.contributor.orcid0000-0001-5861-0184
dc.contributor.researcheridAAG-8775-2021
dc.contributor.researcheridAAG-7693-2021
dc.date.accessioned2024-09-12T12:13:21Z
dc.date.available2024-09-12T12:13:21Z
dc.date.issued2018-03-01
dc.description.abstractThe orthogonal trajectories of the first tangents of the curve are called the involutes of x. The hyperspheres which have higher order contact with a curve x are known osculating hyperspheres of x. The centers of osculating hyperspheres form a curve which is called generalized evolute of the given curve x in n-dimensional Euclidean space E-n. In the present study, we give a characterization of involute curves of order k (resp. evolute curves) of the given curve x in n-dimensional Euclidean space E-n. Further, we obtain some results on these type of curves in E-3 and E-4, respectively.
dc.identifier.doi10.5666/KMJ.2018.58.1.117
dc.identifier.endpage135
dc.identifier.issn1225-6951
dc.identifier.issue1
dc.identifier.startpage117
dc.identifier.urihttps://doi.org/10.5666/KMJ.2018.58.1.117
dc.identifier.urihttps://hdl.handle.net/11452/44656
dc.identifier.volume58
dc.identifier.wos000435224600011
dc.indexed.wosWOS.ESCI
dc.language.isoen
dc.publisherKyungpook Natl Univ, Dept Mathematics
dc.relation.journalKyungpook Mathematical Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectCurvatures
dc.subjectVertices
dc.subjectFrenet curve
dc.subjectInvolutes
dc.subjectEvolutes
dc.subjectScience & technology
dc.subjectPhysical sciences
dc.subjectMathematics
dc.titleA characterization of involutes and evolutes of a given curve in En
dc.typeArticle
dspace.entity.typePublication
relation.isAuthorOfPublication78a6d00b-f51c-4edc-9075-74a0f2803729
relation.isAuthorOfPublication45c31521-1d02-466d-902b-10f1e471b1d8
relation.isAuthorOfPublication.latestForDiscovery78a6d00b-f51c-4edc-9075-74a0f2803729

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