Existence of contractible closed magnetic geodesics proven on Heisenberg nilmanifolds below Mañé critical value, with lattice conditions for closed projections and examples of quotients with infinitely many or no non-contractible trajectories.
Schneider Closed magnetic geodesics on S2, J
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Closed Magnetic geodesics on Heisenberg nilmanifolds
Existence of contractible closed magnetic geodesics proven on Heisenberg nilmanifolds below Mañé critical value, with lattice conditions for closed projections and examples of quotients with infinitely many or no non-contractible trajectories.