Geodesic
Orbital isomorphisms of Liouville systems on a two-dimensional torus
Sbornik. Mathematics, Tome 186 (1995) no. 10, pp. 1531-1549 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

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