Optimalit\'e systolique infinit\'esimale de l'oscillateur harmonique
Symplectic Geometry
2014-10-02 v1 Dynamical Systems
Abstract
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 ?
Keywords
Cite
@article{arxiv.1003.6004,
title = {Optimalit\'e systolique infinit\'esimale de l'oscillateur harmonique},
author = {Juan-Carlos Álvarez Paiva and Florent Balacheff},
journal= {arXiv preprint arXiv:1003.6004},
year = {2014}
}
Comments
5 pages