Killing magnetic trajectories in 3d Egorov spaces

DOI10.1007/s10958-023-06468-0OpenAlexW4386392399MaRDI QIDQ6187957

Zafar Iqbal

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06468-0

zbMATH Keywords

Killing vector fieldsmagnetic trajectoriesEgorov 3-spacesKilling magnetic fieldsLorentzian 3-manifolds

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Motion of charged particles (78A35) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

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• Curvature properties of Lorentzian manifolds with large isometry groups
• Killing magnetic curves in a Minkowski 3-space
• Magnetic trajectories in Killing magnetic backgrounds framed in 3D \(pp\)-waves
• Differential geometry of magnetic and Killing magnetic trajectories in de Sitter 3-space
• Walker manifolds and Killing magnetic curves
• Magnetic curves corresponding to Killing magnetic fields in ${\mathbb {E}}^3$E3
• Magnetic vortex filament flows
• The contact magnetic flow in 3D Sasakian manifolds
• Geometrical Aspects of Motion of Charged Particles in Magnetic and Killing Magnetic Fields and Their Corresponding Trajectories in Anti-De Sitter 3-Space
• Semi‐Riemannian Geometry
• Magnetic fields in 2D and 3D sphere
• Magnetic trajectories corresponding to Killing magnetic fields in a three-dimensional warped product

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