A Multidimensional Birkhoff Theorem for some $C^0$ Lagrangians
We prove a multidimensional Birkhoff theorem for a new class of"$C^0$ Lagrangian subsets"in cotangent bundles, obtained as Hausdorff limits of compact exact Lagrangian submanifolds with control on their Liouville primitives. If the successive images of such a subset $L$ under the flow of a Tonelli Hamiltonian admit con...