XXII WORKSHOP ON GEOMETRIC METHODS IN PHYSICS
29 JUNE - 5 JULY 2003, BIAŁOWIEŻA, POLAND
A.T.Fomenko, K.M.Zuev
New results in the theory of
Integrable Systems on Homogeneous Spaces
We discuss problems concern with non-commutative
integrability of Hamiltonian systems and connection with
commutative integrability. In particular, we show how to
prove integrability of different systems by such methods as
shifting of argument and compatible Poisson structures.