Magnetic Curves in Generalized Almost Cosymplectic Manifolds
Year: 2026
Type: article
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.
Source: Symmetry
DOI: 10.3390/sym18050808
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W7160629377