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SUMMARY:A multi-dimensional Birkhoff theorem for Tonelli Hamiltonian flows
  - Marie-Claude Arnaud\, Avignon
DTSTART:20110309T160000Z
DTEND:20110309T170000Z
UID:TALK27419@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:In the 20's\, Birkhoff proved that any essential curve  that i
 s invariant by a symplectic twist map of the 2-dimensional annulus is the 
 graph of a continuous map. We will give the main ideas of  the proof of th
 e following multidimensional version of this result:\n"The manifold  M  be
 ing compact and connected\,   every submanifold of  T*M  that is Hamiltoni
 anly isotopic to the zero-section and that is invariant by a Tonelli Hamil
 tonian  flow is a graph."
LOCATION:MR4
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