Szasz , D.
The K-property of `Orthogonal' Cylindric Billiards
(56K, AMSTeX)

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.