Geodesic
Orbital isomorphisms of Liouville systems on a~two-dimensional torus
Sbornik. Mathematics, Tome 186 (1995) no. 10, pp. 1531-1549

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A classification is obtained for geodesic flows of Liouville metrics on a two-dimensional torus up to homeomorphisms preserving the trajectories. 
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     author = {E. N. Selivanova},
     title = {Orbital isomorphisms of {Liouville} systems on a~two-dimensional torus},
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     number = {10},
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     url = {http://geodesic.mathdoc.fr/item/SM_1995_186_10_a7/}
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E. N. Selivanova. Orbital isomorphisms of Liouville systems on a~two-dimensional torus. Sbornik. Mathematics, Tome 186 (1995) no. 10, pp. 1531-1549. http://geodesic.mathdoc.fr/item/SM_1995_186_10_a7/