On magnetic curves in almost cosymplectic sol space

DOI10.1007/S00025-020-01235-YzbMath1442.53021OpenAlexW3039695230MaRDI QIDQ777330

Zlatko Erjavec, Jun-Ichi Inoguchi

Publication date: 7 July 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-01235-y

zbMATH Keywords

magnetic curvealmost cosymplectic structuresol space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Smooth dynamical systems: general theory (37C99)

Related Items (5)

Slant Curves and Magnetic Curves ⋮ \(J\)-trajectories in 4-dimensional solvable Lie group \(\mathrm{Sol}_1^4\) ⋮ Explicit formulas for Killing magnetic curves in three-dimensional Heisenberg group ⋮ Killing vectors and magnetic curves associated to Bott connection in Heisenberg group ⋮ Unnamed Item

Cites Work

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• On some closed magnetic curves on a 3-torus
• Killing magnetic curves in Sol space
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• On Killing magnetic curves in \(\mathrm{SL}(2,\mathbb{R})\) geometry
• Magnetic trajectories in an almost contact metric manifold \(\mathbb R^{2N+1}\)
• Periodic magnetic curves in Berger spheres
• Magnetic curves in the real special linear group
• Magnetic curves corresponding to Killing magnetic fields in ${\mathbb {E}}^3$E3
• The Geometries of 3-Manifolds
• Magnetic curves in Sasakian manifolds
• Magnetic curves in a Euclidean space: One example, several approaches
• Magnetic curves in Sol₃
• Riemannian geometry of contact and symplectic manifolds

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