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- W2980370089 abstract "Abstract An integrable billiard system on a book, a complex of several billiard sheets glued together along the common spine, is considered. Each sheet is a planar domain bounded by arcs of confocal quadrics; it is known that a billiard in such a domain is integrable. In a number of interesting special cases of such billiards the Fomenko-Zieschang invariants of Liouville equivalence (marked molecules <?CDATA $W^*$?> ) turn out to describe nontrivial toric foliations on lens spaces and on the 3-torus, which are isoenergy manifolds for these billiards. Bibliography: 18 titles." @default.
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- W2980370089 date "2020-02-01" @default.
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- W2980370089 title "Integrable billiard systems realize toric foliations on lens spaces and the 3-torus" @default.
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- W2980370089 doi "https://doi.org/10.1070/sm9189" @default.
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