A NON-NEWTONIAN APPROACH IN DIFFERENTIAL GEOMETRY OF CURVES: MULTIPLICATIVE RECTIFYING CURVES

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dc.contributor.authorAydin, Muhittin Evren
dc.contributor.authorHas, Aykut
dc.contributor.authorYilmaz, Beyhan
dc.date.accessioned2026-08-12T17:21:34Z
dc.date.issued2024
dc.departmentFırat Üniversitesi
dc.description.abstractIn this paper, we study the rectifying curves in multiplicative Euclidean space of dimension 3, i.e., those curves for which the position vector always lies in its rectifying plane. Since the definition of rectifying curve is affine and not metric, we are directly able to perform multiplicative differential-geometric concepts to investigate such curves. By several characterizations, we completely classify the multiplicative rectifying curves by means of the multiplicative spherical curves.
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK) [123F055]
dc.description.sponsorshipThis study was supported by Scientific and Technological Research Council of Turkey (TUBITAK) under the Grant Number 123F055. The authors thank to TUBITAK for their supports.
dc.identifier.doi10.4134/BKMS.b230491
dc.identifier.endpage866
dc.identifier.issn1015-8634
dc.identifier.issue3
dc.identifier.orcid0000-0002-5091-3487
dc.identifier.scopus2-s2.0-85200733709
dc.identifier.scopusqualityQ3
dc.identifier.startpage849
dc.identifier.urihttps://doi.org/10.4134/BKMS.b230491
dc.identifier.urihttps://hdl.handle.net/11508/53960
dc.identifier.volume61
dc.identifier.wosWOS:001316283400001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherKorean Mathematical Soc
dc.relation.ispartofBulletin of the Korean Mathematical Society
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260511
dc.subjectRectifying curve
dc.subjectspherical curve
dc.subjectmultiplicative calculus
dc.subjectmultiplicative Euclidean space
dc.titleA NON-NEWTONIAN APPROACH IN DIFFERENTIAL GEOMETRY OF CURVES: MULTIPLICATIVE RECTIFYING CURVES
dc.typeArticle

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