posted on 2005-08-16, 10:08authored byHolger R. Dullin, J.M. Robbins, Holger Waalkens, S.C. Creagh, G. Tanner
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.