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For a weakly exact magnetic flows with a bounded primitive on a closed Riemannian manifold, we prove the existence of periodic orbits in almost all energy levels below of the Mañé's critical value. Mathematics Subject Classification is a Riemannian universal covering of (M, g), thus the flow of L coincide with the lift of the magnetic flow (g, Ω) therefore is complete. Recall that on a boundaryless, complete Riemannian manifold N an autonomous Lagrangian is a smooth function, L : T N → R suchdoi:10.12988/nade.2013.13011 fatcat:4qnns3j7qnf45j6rswsu3eby34