Tonelli Hamiltonians without conjugate points and $C^0$ integrability

Marc Arcostanzo, Marie-Claude Arnaud, Philippe Bolle +1

We prove that all the Tonelli Hamiltonians defined on the cotangent bundle $T^*\T^n$ of the $n$-dimensional torus that have no conjugate points are $C^0$ integrable, i.e. $T^*\T^n$…