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The \(K\)-property of 4D billiards with nonorthogonal cylindrical scatterers. (English) Zbl 0840.58028

Summary: The \(K\)-property of cylindric billiards given on the 4-torus is established. These billiards are neither “orthogonal”, where general necessary and sufficient conditions were obtained by D. Szász, nor isomorphic to hard-ball systems, where the connecting path formula of N. Simányi is at hand.

MSC:

37D50 Hyperbolic systems with singularities (billiards, etc.) (MSC2010)
37A99 Ergodic theory
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