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Local Modeling of Liouville Foliations by Billiards: Implementation of Edge Invariants

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Abstract

The local case of A. Fomenko conjecture on the possibility of modeling Liouville foliations by integrable billiards is discussed. An extended version of its statements on numerical invariants on the edge of the Fomenko–Zieschang invariant of the Liouville foliation is proved. We show the realization of the Liouville foliation with some combinations of numerical mark values on a fixed edge by an appropriate class of integrable billiards.

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  1. Chair of Differential Geometry and Application, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, 119991, Moscow, Russia

    V. V. Vedyushkina

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  1. V. V. Vedyushkina
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Vedyushkina, V.V. Local Modeling of Liouville Foliations by Billiards: Implementation of Edge Invariants. Moscow Univ. Math. Bull. 76, 60–64 (2021). https://doi.org/10.3103/S0027132221020091

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  • DOI: https://doi.org/10.3103/S0027132221020091

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