Billiard with slipping by an arbitrary rational angle

The class of billiards in a disc with slipping along the boundary circle by an angle commensurable with $\pi$ is considered. For such billiards it is shown that an isoenergy surface of the system is homeomorphic to a lens space $L(q,p)$ with parameters satisfying $0 < p

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Veröffentlicht in:Sbornik. Mathematics 2023, Vol.214 (9), p.1191-1211
1. Verfasser: Zav'yalov, Vladimir Nikolaevich
Format: Artikel
Sprache:eng
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