Scattering matrix for asymptotically euclidean manifolds
Second order linear differential systems
Some perturbation results for non-linear problems
We discuss the existence of closed geodesic on a Riemannian manifold and the existence of periodic solution of second order Hamiltonian systems.
Stability is not open
We give an example of a symplectic manifold with a stable hypersurface such that nearby hypersurfaces are typically unstable.
Stastistic of the winding of geodesics on a Riemann surface with finite area and constant negative curvature.
In this paper we show that the windings of geodesics around the cusps of a Riemann surface of a finite area, behave asymptotically as independent Cauchy variables.
Sur les intégrales premières symétriques du flot géodésique.
Sur les variétés compactes asymptotiquement hamroniques.
Sur les variétés riemanniennes a flot géodésique topologiquement transitif.
Symbolic dynamics and geodesic flows
Symplectic rigidity of geodesic flows on two-step nilmanifolds