Constructs infinite-dimensional spaces of exact magnetic systems of strong geodesic type on closed manifolds, proving existence of null-homologous embedded periodic orbits with negative action below the strict Mañé critical value and hence non-contact type energy surfaces, resolving the conjecture.
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On the contact type conjecture for exact magnetic systems
Constructs infinite-dimensional spaces of exact magnetic systems of strong geodesic type on closed manifolds, proving existence of null-homologous embedded periodic orbits with negative action below the strict Mañé critical value and hence non-contact type energy surfaces, resolving the conjecture.