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Relationship between Euclidean, Lobachevskian (hyperbolic), and billiard metrics and its application to a billiard problem in R$^d$
G. Galperin Department of Mathematics & Computer,
Sciences, Eastern Illinois University,
Charleston, IL 61920, USA
Abstract:
A relationship between the three metrics — Billiard, Euclidean, and Lobachevskian (Hyperbolic) — is established in the article. This relationship is applied to a billiard problem on generalized diagonals of a Euclidean multidimensional convex polyhedron.
Received: 09.12.2003
Citation:
G. Galperin, “Relationship between Euclidean, Lobachevskian (hyperbolic), and billiard metrics and its application to a billiard problem in R$^d$”, Regul. Chaotic Dyn., 8:4 (2003), 441–448
Linking options:
https://www.mathnet.ru/eng/rcd794 https://www.mathnet.ru/eng/rcd/v8/i4/p441
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Abstract page: | 99 |
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