The geodesic flow on a two-dimensional ellipsoid in the field of an elastic force. Topological classification of solutions

The Liouville foliation of system describing the motion of a material point on a 2-dimensional ellipsoid in the field of elastic forse is considered. The main goal is to find Fomenko–Zieschang invariants (isoenergetic molecules) of the system. The algebraic method of M. P. Kharlamov is used to obtain the results.