On the geodesic flow of tori without conjugate points
Consider a Riemannian torus \(M\) without conjugate points. We prove that the unit tangent bundle \(SM\) admits a continuous foliation by Lipschitz Lagrangian tori which are invariant under the geodesic flow. The construction provides continuous first integrals of the flow.
scientific article; zbMATH DE number 704914
scientific article