Maslov Indices and Monodromy
Dullin, HR ; Robbins, JM ; Waalkens, H ; Creagh, SC ; Tanner, G
arXiv, 0504063 / Harvested from arXiv
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.
Publié le : 2005-04-20
Classification:  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  37J35,  81S10,  53D12
@article{0504063,
     author = {Dullin, HR and Robbins, JM and Waalkens, H and Creagh, SC and Tanner, G},
     title = {Maslov Indices and Monodromy},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0504063}
}
Dullin, HR; Robbins, JM; Waalkens, H; Creagh, SC; Tanner, G. Maslov Indices and Monodromy. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504063/