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.
Notes on exterior differential systems
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abstract
These are notes for a very rapid introduction to the basics of exterior differential systems and their connection with what is now known as Lie theory, together with some typical and not-so-typical applications to illustrate their use.
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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.