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arXiv · 1003.6004

Optimalit\'e systolique infinit\'esimale de l'oscillateur harmonique

Juan-Carlos Álvarez Paiva·Florent Balacheff
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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 ?

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Juan-Carlos Álvarez Paiva, Florent Balacheff. 2010-03-31. Optimalit\'e systolique infinit\'esimale de l'oscillateur harmonique. https://arxiv.org/abs/1003.6004

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