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Regular and Chaotic Dynamics, 2003, Volume 8, Issue 4, Pages 441–448
DOI: https://doi.org/10.1070/RD2003v008n04ABEH000256 (Mi rcd794) 		 
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
DOI: https://doi.org/10.1070/RD2003v008n04ABEH000256
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
Bibliographic databases:
Document Type: Article
MSC: 37D50
Language: English
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
Citation in format AMSBIB
\Bibitem{Gal03}
\by G. Galperin
\paper Relationship between Euclidean, Lobachevskian (hyperbolic), and billiard metrics and its application to a billiard problem in R$^d$
\jour Regul. Chaotic Dyn.
\yr 2003
\vol 8
\issue 4
\pages 441--448
\mathnet{http://mi.mathnet.ru/rcd794}
\crossref{https://doi.org/10.1070/RD2003v008n04ABEH000256}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2023047}
\zmath{https://zbmath.org/?q=an:1048.37034}
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