Curves in Multiplicative Equiaffine Space

dc.contributor.authorOgrenmis, Meltem
dc.contributor.authorOgrenmis, Alper Osman
dc.date.accessioned2026-08-12T17:41:55Z
dc.date.issued2025
dc.departmentFırat Üniversitesi
dc.description.abstractIn this study, the geometric properties of curves in multiplicative equiaffine space are investigated using multiplicative calculus. Fundamental geometric concepts such as multiplicative arc length, multiplicative equiaffine curvature, and torsion are introduced. This study derives the multiplicative Frenet frame and associated Frenet equations, providing a systematic framework for describing the geometric behavior of multiplicative equiaffine curves. Additionally, curves with constant multiplicative curvature and torsion are characterized and supported with illustrative examples.
dc.identifier.doi10.3390/math13071107
dc.identifier.issn2227-7390
dc.identifier.issue7
dc.identifier.orcid0000-0002-2626-0543
dc.identifier.scopus2-s2.0-105002393132
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/math13071107
dc.identifier.urihttps://hdl.handle.net/11508/59532
dc.identifier.volume13
dc.identifier.wosWOS:001463979600001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofMathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260511
dc.subjectaffine space
dc.subjectequiaffine space curves
dc.subjectmultiplicative calculus
dc.subjectmultiplicative derivative
dc.subjectmultiplicative integral
dc.titleCurves in Multiplicative Equiaffine Space
dc.typeArticle

Dosyalar