Number of connected components in the preimage of regular value of the momentum map for the geodesic flow of ellipsoid / S. S. Nikolaenko. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2013. ? 5. P. 29-34 [Moscow Univ. Math. Bulletin. Vol. 68, N 5, 2013.].

A Liouville foliation of the geodesic flow of a generic ellipsoid is considered in the paper. The main goal is the demonstration of various approaches to computation of the number of connected components in the preimage of a regular value of the moment map. This is done with the use of the Boolean functions method of M. P. Kharlamov and also N. T. Zung's result on the decomposition of a hyperbolic singularity to an almost direct product of 2-dimensional atoms.

Key words: integrable Hamiltonian system, geodesic flow, ellipsoid, Liouville foliation, Boolean function.