Publication: A characterization of involutes and evolutes of a given curve in En
dc.contributor.author | Öztürk, Günay | |
dc.contributor.buuauthor | Arslan, Kadri | |
dc.contributor.buuauthor | ARSLAN, KADRİ | |
dc.contributor.buuauthor | Bulca, Betül | |
dc.contributor.buuauthor | BULCA SOKUR, BETÜL | |
dc.contributor.department | Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü. | |
dc.contributor.orcid | 0000-0002-1440-7050 | |
dc.contributor.orcid | 0000-0001-5861-0184 | |
dc.contributor.researcherid | AAG-8775-2021 | |
dc.contributor.researcherid | AAG-7693-2021 | |
dc.date.accessioned | 2024-09-12T12:13:21Z | |
dc.date.available | 2024-09-12T12:13:21Z | |
dc.date.issued | 2018-03-01 | |
dc.description.abstract | The 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.doi | 10.5666/KMJ.2018.58.1.117 | |
dc.identifier.endpage | 135 | |
dc.identifier.issn | 1225-6951 | |
dc.identifier.issue | 1 | |
dc.identifier.startpage | 117 | |
dc.identifier.uri | https://doi.org/10.5666/KMJ.2018.58.1.117 | |
dc.identifier.uri | https://hdl.handle.net/11452/44656 | |
dc.identifier.volume | 58 | |
dc.identifier.wos | 000435224600011 | |
dc.indexed.wos | WOS.ESCI | |
dc.language.iso | en | |
dc.publisher | Kyungpook Natl Univ, Dept Mathematics | |
dc.relation.journal | Kyungpook Mathematical Journal | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi | |
dc.rights | info:eu-repo/semantics/closedAccess | |
dc.subject | Curvatures | |
dc.subject | Vertices | |
dc.subject | Frenet curve | |
dc.subject | Involutes | |
dc.subject | Evolutes | |
dc.subject | Science & technology | |
dc.subject | Physical sciences | |
dc.subject | Mathematics | |
dc.title | A characterization of involutes and evolutes of a given curve in En | |
dc.type | Article | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 78a6d00b-f51c-4edc-9075-74a0f2803729 | |
relation.isAuthorOfPublication | 45c31521-1d02-466d-902b-10f1e471b1d8 | |
relation.isAuthorOfPublication.latestForDiscovery | 78a6d00b-f51c-4edc-9075-74a0f2803729 |