Momentum map and action-angle variables for Nambu dynamics

Momentum map is a reduction procedure that reduces the dimension of a Hamiltonian system to the lower ones. It is shown that behavior of the action-angle variables under the momentum map generates the new action-angle variables for the reduced system considered as a Nambu structure. The symmetrical top is given as an illustration. This work was supported in part by the Scientific and Technical Research Council of Turkey (TüBİTAK).