Closed orbits of a charge in a weakly exact magnetic field (2009)
We prove that for a weakly exact magnetic system on a closed connected Riemannian manifold, almost all energy levels contain a closed orbit. More precisely, we prove the following stronger...
Stability of Anosov Hamiltonian Structures (2009)
Merry, Will J., Paternain, Gabriel P.
Consider the tangent bundle of a Riemannian manifold $(M,g)$ of dimension $n\geq3$ admitting a metric of negative curvature (not necessarily equal to $g$) endowed with a twisted symplectic structure...