En este artículo presentamos una aproximación topológica y geométrica al estudio de órbitas periódicas (existencia y localización) tomando como punto de partida problemas de mecánica celeste. Describimos, a grandes rasgos, ...

The aim of this work is to build an intersection product in homology classes of a smooth compact orientable manifold so that this intersection is Poincaré dual of cup product of its cohomology classes. To do this, we start ...

In this article we generalize a theorem by Palais on the rigidity of compact group actions to cotangent lifts. We use this result to prove rigidity for integrable systems on symplectic manifolds including systems with ...

In this paper we give an explicit costruction of a symplectic Lefschetz fibration whose total space is a smooth compact four dimensional manifold with a prescribed fundamental group. We also study the numerical properties ...