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Dergiler / 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
Sayfa
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Yayın Tarihi
2022-04-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we study normal magnetic curves in $C$-manifolds.
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Temel Bulgular & Veri: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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Sonuç & Katkı:Then, we give the parametrizations of normal magnetic curves in $\mathbb{R}^{2n+s}$ with its structures as a $C$-manifold.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (9)

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  9. Adachi,T.: Curvature bound and trajectories for magnetic fields on a Hadamard surface. Tsukuba J. Math. 20, 225–230, (1996).