We prove that for a Hamiltonian system on a cotangent bundle that is Liouville-integrable and has monodromy the vector of Maslov indices is an eigenvector of the monodromy matrix with eigenvalue 1. As a corollary, the resulting restrictions on the monodromy matrix are derived.
|Translated title of the contribution||Maslov indices and monodromy|
|Pages (from-to)||L443 - L447|
|Journal||Journal of Physics A: Mathematical and General|
|Publication status||Published - 17 Jun 2005|
Bibliographical notePublisher: IOP Publishing Ltd
Other identifier: IDS Number: 947WJ