Periodic and heteroclinic orbits for a periodic hamiltonian system
Periodic solutions of hamiltonian systems of 3-body type
Periodic Solutions of Hamiltonian Systems on Hypersurfaces in Torus.
Periodic solutions of some problems of 3-body type
Periodic Solutions of Superquadratic Hamiltonian Systems with Bounded Forcing Terms.
Periodic Solutions on hypersurfaces and a result by C. Viterbo.
Periodic solutions with prescribed energy for some keplerian -body problems
Periodicity and transport from round-off errors.
Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibre cotangent.
Perturbation results for a class of singular Hamiltonian systems
The existence of solutions with prescribed period for a class of Hamiltonian systems with a Keplerian singularity is discussed.
Perturbations of quadratic hamiltonian systems with symmetry
Poincaré inequalities and Sobolev spaces.
Our understanding of the interplay between Poincaré inequalities, Sobolev inequalities and the geometry of the underlying space has changed considerably in recent years. These changes have simultaneously provided new insights into the classical theory and allowed much of that theory to be extended to a wide variety of different settings. This paper reviews some of these new results and techniques and concludes with an example on the preservation of Sobolev spaces by the maximal function.[Proceedings...
Poisson cohomology and canonical homology of Poisson manifolds
In this paper we present recent results concerning the Lichnerowicz-Poisson cohomology and the canonical homology of Poisson manifolds.
Poisson cohomology of regular Poisson manifolds
The main purpose of this paper is to suggest a method of computing Poisson cohomology of a Poisson manifold by means of symplectic groupoids. The key idea is to convert the problem of computing Poisson cohomology to that of computing de Rham cohomology of certain manifolds. In particular, we shall derive an explicit formula for the Poisson cohomology of a regular Poisson manifold where the symplectic foliation is a trivial fibration.
Poisson geometry of flat connections for SU(2)-bundles on surfaces.
Poisson Lie groups and their relations to quantum groups
The notion of Poisson Lie group (sometimes called Poisson Drinfel'd group) was first introduced by Drinfel'd [1] and studied by Semenov-Tian-Shansky [7] to understand the Hamiltonian structure of the group of dressing transformations of a completely integrable system. The Poisson Lie groups play an important role in the mathematical theories of quantization and in nonlinear integrable equations. The aim of our lecture is to point out the naturality of this notion and to present basic facts about...
Poisson structures on certain moduli spaces for bundles on a surface
Let be a closed surface, a compact Lie group, with Lie algebra , and a principal -bundle. In earlier work we have shown that the moduli space of central Yang-Mills connections, with reference to appropriate additional data, is stratified by smooth symplectic manifolds and that the holonomy yields a homeomorphism from onto a certain representation space , in fact a diffeomorphism, with reference to suitable smooth structures and , where denotes the universal central extension of...
Presymplectic lagrangian systems. I : the constraint algorithm and the equivalence theorem
Presymplectic lagrangian systems. II : the second-order equation problem
Problèmes d'intersections et de points fixes en géométrie hamiltonienne.