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- W3207529020 abstract "Abstract The homeomorphism class of the isoenergy surface of a billiard book, of low complexity and not necessarily integrable, is determined using methods of low-dimensional topology. In particular, a series of billiard books is constructed that realize isoenergy 3-surfaces homeomorphic to the connected sum of a number of lens spaces and direct products <?CDATA $S^1times S^2$?> . The Fomenko-Zieschang invariants, which classify Liouville foliations on isoenergy surfaces up to fibrewise homeomorphisms — that is, up to Liouville equivalence of the corresponding integrable Hamiltonian systems — are calculated for several integrable billiards of this type. Bibliography: 14 titles." @default.
- W3207529020 created "2021-10-25" @default.
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- W3207529020 date "2021-12-01" @default.
- W3207529020 modified "2023-10-13" @default.
- W3207529020 title "Topological type of isoenergy surfaces of billiard books" @default.
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- W3207529020 doi "https://doi.org/10.1070/sm9528" @default.
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