Killing slant magnetic curves in the 3-dimensional Heisenberg group Nil3

DOI10.1142/s0219887823500949OpenAlexW4311810003MaRDI QIDQ6181041

Marian Ioan Munteanu, Jun-Ichi Inoguchi, Simona-Luiza Druţă-Romaniuc

Publication date: 22 January 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887823500949

zbMATH Keywords

Lorentz forceHeisenberg manifoldmagnetic curveKilling magnetic field

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Methods of local Riemannian geometry (53B21)

Cites Work

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• On the existence of almost contact structure and the contact magnetic field
• Intrinsic CR normal coordinates and the CR Yamabe problem
• Riemannian nilmanifolds attached to Clifford modules
• Periodic magnetic geodesics on Heisenberg manifolds
• Magnetic curves in the generalized Heisenberg group
• Magnetic curves corresponding to Killing magnetic fields in ${\mathbb {E}}^3$E3
• The analyticity of Jacobian functions with respect to the parameter k
• Parabolic Geodesics in Sasakian 3-Manifolds
• Magnetic vortex filament flows
• The contact magnetic flow in 3D Sasakian manifolds
• Slant Curves and Magnetic Curves
• Magnetic curves in Sasakian manifolds
• Riemannian geometry of contact and symplectic manifolds

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