Magnetic Curves in Generalized Almost Cosymplectic Manifolds

In this paper, we study magnetic curves associated with a contact magnetic field on almost cosymplectic manifolds. In particular, we consider locally conformal almost cosymplectic manifolds and almost α-cosymplectic f-manifolds. The magnetic field is defined by the fundamental 2-form Ω, with the corresponding Lorentz force determined by the structure tensor φ. We classify normal magnetic curves in these settings and show that they are either geodesics, Legendre φ-circles, or φ-helices of order three. We further investigate slant curves and derive conditions relating their geometry to the structure functions of the manifold. These results generalize known classifications of magnetic curves in contact and cosymplectic geometries and provide a unified treatment for the considered classes of manifolds.

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Publication Details

Journal
Symmetry
Published
2026-05-08
DOI
https://doi.org/10.3390/sym18050808
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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article

Magnetic Curves in Generalized Almost Cosymplectic Manifolds

Foued Aloui, Afshan Perween, Majid Ali Choudhary
Symmetry
Geometric Analysis and Curvature Flows
article

Magnetic Curves in Generalized Almost Cosymplectic Manifolds

Foued Aloui, Afshan Perween, Majid Ali Choudhary
article en

Abstract

In this paper, we study magnetic curves associated with a contact magnetic field on almost cosymplectic manifolds. In particular, we consider locally conformal almost cosymplectic manifolds and almost α-cosymplectic f-manifolds. The magnetic field is defined by the fundamental 2-form Ω, with the corresponding Lorentz force determined by the structure tensor φ. We classify normal magnetic curves in these settings and show that they are either geodesics, Legendre φ-circles, or φ-helices of order three. We further investigate slant curves and derive conditions relating their geometry to the structure functions of the manifold. These results generalize known classifications of magnetic curves in contact and cosymplectic geometries and provide a unified treatment for the considered classes of manifolds.

SymmetryVol. 18(5)
Imam Mohammad ibn Saud Islamic University (SA), Maulana Azad National Urdu University (IN)
Openalex Percentile: Top 4%
Geometric Analysis and Curvature Flows
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