Construction de sous-variétés symplectiques
Homologie associée à une fonctionnelle
Formes differentielles fermées non singulières sur le n-tore.
Problèmes d'intersections et de points fixes en géométrie hamiltonienne.
Growth of a primitive of a differential form
For an exact differential form on a Riemannian manifold to have a primitive bounded by a given function , by Stokes it has to satisfy some weighted isoperimetric inequality. We show the converse up to some constants if has bounded geometry. For a volume form, it suffices to have the inequality ( for every compact domain ). This implies in particular the “well-known” result that if is the universal covering of a compact Riemannian manifold with non-amenable fundamental group, then the volume...
Un problème de disjonction par isotopie symplectique dans un fibré cotangent
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