Killing Magnetic Curves in $\: \mathbb{H}^{3}$

DOI10.36890/iejg.1243521zbMath1517.53056OpenAlexW4366004203MaRDI QIDQ6158732

Jun-Ichi Inoguchi, Zlatko Erjavec

Publication date: 20 June 2023

Published in: International Electronic Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.36890/iejg.1243521

zbMATH Keywords

Killing vector fieldhyperbolic spacemagnetic curve

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Applications of differential geometry to physics (53Z05) Geodesics in global differential geometry (53C22)

Cites Work

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• On the four current source of the electromagnetic fields
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• On the geometry of electromagnetic fields of second class
• Geometry developed by the electromagnetic tensor field
• Killing magnetic curves in Sol space
• \(J\)-trajectories in 4-dimensional solvable Lie group \(\mathrm{Sol}_0^4\)
• On Killing magnetic curves in \(\mathrm{SL}(2,\mathbb{R})\) geometry
• Periodic magnetic curves in Berger spheres
• The classification of Killing magnetic curves in \(\mathbb S^2 \times \mathbb R\)
• Magnetic curves in the real special linear group
• Magnetic curves corresponding to Killing magnetic fields in ${\mathbb {E}}^3$E3
• First steps in symplectic topology
• Slant Curves and Magnetic Curves
• The Geometries of 3-Manifolds
• Magnetic curves in Sasakian manifolds
• SOME SMOOTH ERGODIC SYSTEMS

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