Topology of Liouville bundles of integrable billiard in non-convex domains
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2018), pp. 21-29

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Flat billiards are studied in non-convex domains bounded by segments of confocal quadrics and also in domains bounded by segments of mutually perpendicular straignt lines. The topology of isoenergetic surfaces of such billiards is studied by calculating invariants of rough Liouville's equivalency also known as Fomenko's molecule.
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     author = {V. A. Moskvin},
     title = {Topology of {Liouville} bundles of integrable billiard in non-convex domains},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
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V. A. Moskvin. Topology of Liouville bundles of integrable billiard in non-convex domains. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2018), pp. 21-29. http://geodesic.mathdoc.fr/item/VMUMM_2018_3_a3/