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Journals / Fundamentals of Contemporary Mathematical Sciences / 2025 / Volume: 6 Issue: 2

On non-Newtonian Helices in Multiplicative Euclidean Space

Aykut Has(KAHRAMANMARAŞ SÜTÇÜ İMAM ÜNİVERSİTESİ)0000-0003-0658-9365
Beyhan Yılmaz(KAHRAMANMARAŞ SÜTÇÜ İMAM ÜNİVERSİTESİ)0000-0002-5091-3487
Pages
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Publication Date
2025-07-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, examples and drawings are given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, spherical indicatrices of a curve and helices are re-examined using both the algebraic structure and the geometric structure of non-Newtonian (multiplicative) Euclidean space.
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Key Findings & Data:Indicatrices of a multiplicative curve on the multiplicative sphere in multiplicative space are obtained.
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Conclusion & Impact:Finally, examples and drawings are given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Non-Newtonian calculus · spherical indicatrices · helices

Abstract

In this article, spherical indicatrices of a curve and helices are re-examined using both the algebraic structure and the geometric structure of non-Newtonian (multiplicative) Euclidean space. Indicatrices of a multiplicative curve on the multiplicative sphere in multiplicative space are obtained. In addition, multiplicative general helix, multiplicative slant helix and multiplicative clad and multiplicative g-clad helix characterizations are provided. Finally, examples and drawings are given.

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Cite This Article

Has, A., Yılmaz, B. (2025). On non-Newtonian Helices in Multiplicative Euclidean Space. Fundamentals of Contemporary Mathematical Sciences, Volume: 6 Issue: 2. https://doi.org/10.54974/fcmathsci.1644427

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