93-157 Szasz , D.

The K-property of `Orthogonal' Cylindric Billiards (56K, AMSTeX) Jun 3, 93

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Abstract. Toric billiards with cylindric scatterers (briefly cylindric billiards) generalize the class of Hamiltonian systems of elastic hard balls. In this paper a class of cylindric billiards is considered where the cylinders are `orthogonal' or more exactly: the constituent space of any cylindric scatterer is spanned by some of the (of course, orthogonal) coordinate vectors adapted to the torus. It is shown that the natural necessary condition for the K-property of such billiards is also sufficient.

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