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Dergiler / International Electronic Journal of Geometry / 2026 / Volume: 18 Issue: 1

A Non-Newtonian Some Partner Curves in Multiplicative Euclidean Space $\:E_*^3$

Aykut Has(KAHRAMANMARAŞ SÜTÇÜ İMAM ÜNİVERSİTESİ)0000-0003-0658-9365
Beyhan Yılmaz(KAHRAMANMARAŞ SÜTÇÜ İMAM ÜNİVERSİTESİ)0000-0002-5091-3487
Sayfa
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Yayın Tarihi
2025-04-24
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Through this analysis, we aim to elucidate the behavior and properties of these curve pairs within the context of multiplicative geometry.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The aim of this article is to characterize pairs of curves within multiplicative (non-Newtonian) spaces.
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Temel Bulgular & Veri:Specifically, we investigate how famous curve pairs such as Bertrand partner curves, Mannheim partner curves, which are prominent in differential geometry, are transformed under the influence of multiplicative analysis.
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Sonuç & Katkı:Through this analysis, we aim to elucidate the behavior and properties of these curve pairs within the context of multiplicative geometry.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Multiplicative Frenet frame · multiplicative Euclidean space · non-Newtonian calculus

Abstract

The aim of this article is to characterize pairs of curves within multiplicative (non-Newtonian) spaces. Specifically, we investigate how famous curve pairs such as Bertrand partner curves, Mannheim partner curves, which are prominent in differential geometry, are transformed under the influence of multiplicative analysis. By leveraging the relationships between multiplicative Frenet vectors, we introduce multiplicative versions of Bertrand, Mannheim curve pairs. Subsequently, we characterize these curve pairs using multiplicative arguments. Examples are provided, and multiplicative graphs are presented to enhance understanding of the subject matter. Through this analysis, we aim to elucidate the behavior and properties of these curve pairs within the context of multiplicative geometry.

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Bu Makaleye Atıf Yap

Has, A., Yılmaz, B. (2025). A Non-Newtonian Some Partner Curves in Multiplicative Euclidean Space $\:E_*^3$. International Electronic Journal of Geometry, Volume: 18 Issue: 1. https://ajindex.com/articles/1410938

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