This article is cited in 2 papers

Mathematics

Topological invariants of some ordered billiard games

K. E. Turina<sup>ab

a</sup> Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Moscow Center for Fundamental and Applied Mathematics

Abstract: In the paper, Liouville equivalence invariants were calculated for billiard books that implement some ordered billiard games. Namely, for integrable billiard books glued from $m$ disks bounded by an ellipse and no more than two annuli bounded by two confocal ellipses.

Key words: billiard, ordered billiard game, billiard book, isoenergy surface, Fomenko–Zieschang invariant, integrable Hamiltonian system, integrable billiard, confocal quadrics.

UDC: 517.938.5

Received: 28.04.2023

DOI: 10.55959/MSU0579-9368-1-65-3-3

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2024, 79:3, 122–129

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