 |
A multidimensional birkhoff theorem for time-dependent tonelli hamiltonians: Birkhoff theorem
A multidimensional birkhoff theorem for time-dependent tonelli hamiltonians: Birkhoff theorem
Abstract : Let M be a closed and connected manifold, H : T * M × R/Z → R a Tonelli 1-periodic Hamiltonian and L ⊂ T * M a Lagrangian submanifold Hamiltonianly isotopic to the zero section. We prove that if L is invariant by the time-one map of H, then L is a graph over M. An interesting consequence in the autonomous case is that in this case, L is invariant by all the time t maps of the Hamiltonian flow of H.
Cited literature [24 references]
https://hal-univ-avignon.archives-ouvertes.fr/hal-01309652
Contributor : Marie-Claude Arnaud <>
Submitted on : Wednesday, August 16, 2017 - 5:19:55 PM
Last modification on : Tuesday, December 8, 2020 - 9:50:37 AM
Contributor : Marie-Claude Arnaud <>
Submitted on : Wednesday, August 16, 2017 - 5:19:55 PM
Last modification on : Tuesday, December 8, 2020 - 9:50:37 AM
Files
Birkhoff-nonautonome-2vers26ju...
Files produced by the author(s)