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.
@article{VMUMM_2018_3_a3,
author = {V. A. Moskvin},
title = {Topology of {Liouville} bundles of integrable billiard in non-convex domains},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {21--29},
publisher = {mathdoc},
number = {3},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2018_3_a3/}
}
TY - JOUR AU - V. A. Moskvin TI - Topology of Liouville bundles of integrable billiard in non-convex domains JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2018 SP - 21 EP - 29 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2018_3_a3/ LA - ru ID - VMUMM_2018_3_a3 ER -
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/