A selection of a weak KAM solution of the sub-riemannian Mañé Lagrangian

Iker Martínez Juárez, Héctor Sánchez Morgado

For a sub-riemannian structure on the torus, satisfying the Hörmander condition, we consider the Mañé Lagrangian associated to a horizontal vector field. Assuming that the Aubry se…