ON MANNHEIM PARTNER CURVES IN THREE DIMENSIONAL LIE GROUPS

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dc.authorid0000-0003-4379-0252
dc.contributor.authorGok, Ismail
dc.contributor.authorOkuyucu, O. Zeki
dc.contributor.authorEkmekci, Nejat
dc.contributor.authorYayli, Yusuf
dc.date.accessioned2025-05-20T18:54:12Z
dc.date.issued2014
dc.departmentBilecik Şeyh Edebali Üniversitesi
dc.description.abstractIn this paper, we define Mannheim partner curves in a three dimensional Lie group G with a bi-invariant metric. The main result of the paper is given as (Theorem 4): A curve ff W I R ! G with the Frenet apparatus fT; N; B; ; g is a Mannheim partner curve if and only if 1CH 2 D 1 where , are constants and H is the harmonic curvature function of the curve ff :
dc.identifier.doi10.18514/MMN.2014.682
dc.identifier.endpage479
dc.identifier.issn1787-2405
dc.identifier.issn1787-2413
dc.identifier.issue2
dc.identifier.scopus2-s2.0-84921449826
dc.identifier.scopusqualityQ2
dc.identifier.startpage467
dc.identifier.urihttps://doi.org/10.18514/MMN.2014.682
dc.identifier.urihttps://hdl.handle.net/11552/7284
dc.identifier.volume15
dc.identifier.wosWOS:000348602900019
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWoS
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWoS - Science Citation Index Expanded
dc.language.isoen
dc.publisherUniv Miskolc Inst Math
dc.relation.ispartofMiskolc Mathematical Notes
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250518
dc.subjectMannheim curves
dc.subjectLie groups
dc.titleON MANNHEIM PARTNER CURVES IN THREE DIMENSIONAL LIE GROUPS
dc.typeArticle

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