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math.DG2022★ 1 cited
Magnetic fields on non-singular 2-step nilpotent Lie groups
Gabriela P. Ovando, Mauro Subils
The aim of this work is the study of left-invariant magnetic fields on 2-step nilpotent Lie groups. While the existence of closed 2-forms for which the center is either nondegenera…
math.DG2022
Magnetic trajectories on 2-step nilmanifolds
Gabriela P. Ovando, Mauro Subils
The aim of this work is the study of magnetic trajectories on nilmanifolds. The magnetic equation is written and the corresponding solutions are found for a family of invariant Lor…