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Journals / International Electronic Journal of Geometry / 2026 / Volume: 15 Issue: 1

Magnetic Curves in C-manifolds

Şaban Güvenç(BALIKESİR ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ, MATEMATİK BÖLÜMÜ)0000-0001-6254-4693
Pages
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Publication Date
2022-04-30
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AI Summary & Key Takeaways

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

Then, we give the parametrizations of normal magnetic curves in $\mathbb{R}^{2n+s}$ with its structures as a $C$-manifold.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study normal magnetic curves in $C$-manifolds.
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Key Findings & Data:We prove that magnetic trajectories with respect to the contact magnetic fields are indeed $\theta _{\alpha }$-slant curves with certain curvature functions.
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Conclusion & Impact:Then, we give the parametrizations of normal magnetic curves in $\mathbb{R}^{2n+s}$ with its structures as a $C$-manifold.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:C-manifold · magnetic curve · θα-slant curve

Abstract

In this paper, we study normal magnetic curves in $C$-manifolds. We prove that magnetic trajectories with respect to the contact magnetic fields are indeed $\theta _{\alpha }$-slant curves with certain curvature functions. Then, we give the parametrizations of normal magnetic curves in $\mathbb{R}^{2n+s}$ with its structures as a $C$-manifold.

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Cite This Article

Güvenç, Ş. (2022). Magnetic Curves in C-manifolds. International Electronic Journal of Geometry, Volume: 15 Issue: 1. https://doi.org/10.36890/iejg.948817

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