The \(K\)-property of ``orthogonal'' cylindric billiards (Q1319918)
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scientific article; zbMATH DE number 553845
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(K\)-property of ``orthogonal'' cylindric billiards |
scientific article; zbMATH DE number 553845 |
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The \(K\)-property of ``orthogonal'' cylindric billiards (English)
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8 August 1995
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The author considers a class of `cylindric billiards' (billiards on a \(d\)-dimensional torus with cylindrical scatterers), where the scatterers have certain orthogonality properties. He uses analysis of submanifolds and dynamical methods to prove that the system has the \(K\)-property if and only if a natural non-degeneracy condition is satisfied.
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cylindric billiards
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\(K\)-property
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