ABSTRACT
An orbital classication of linearly and quadratically integrable geodesic ows
on the torus was obtained by E. N. Selivanova [312].
As was shown in Chapters 5 and 8, for orbital classication of integrable
systems, rst of all, it is necessary to calculate the rotation function on the edges
of the marked molecule W
. Consider a torus with an integrable geodesic ow.
We restrict ourselves to the case of a global Liouville metric.
