%0 Journal Article
%T Optimalit¨¦ systolique infinit¨¦simale de l'oscillateur harmonique
%A Juan-Carlos ¨˘lvarez Paiva
%A Florent Balacheff
%J Mathematics
%D 2010
%I arXiv
%X We study the infinitesimal aspects of the following problem. Let H be a Hamiltonian of \R^{2n} whose energy surface {H=1} encloses a compact starshaped domain of volume equal to that of the unit ball in \R^{2n}. Does the energy surface {H=1} carry a periodic orbit of the Hamiltonian system associated to H with action less than or equal to \pi ?
%U http://arxiv.org/abs/1003.6004v1