Relationship between Euclidean, Lobachevskian (hyperbolic), and billiard metrics and its application to a billiard problem in \(\mathbb R^d\)

DOI10.1070/RD2003V008N04ABEH000256zbMATH Open1048.37034MaRDI QIDQ1876384

Yanyan Li

Publication date: 6 September 2004

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

hyperbolic distancebilliard formulaPoincaré upper half plane model

Mathematics Subject Classification ID

Recommendations

• Title not available (Why is that?) 👍 👎
• Title not available (Why is that?) 👍 👎
• Ellipsoidal billiards in pseudo-Euclidean spaces and relativistic quadrics 👍 👎
• Pseudo-Riemannian geodesics and billiards 👍 👎
• Geometry of geodesics for convex billiards and circular billards. 👍 👎
• On elliptical billiards in the Lobachevsky space and associated geodesic hierarchies. 👍 👎
• Billiards in Finsler and Minkowski geometries 👍 👎
• Expansiveness and hyperbolicity in convex billiards 👍 👎
• Hyperbolic cone metrics and billiards 👍 👎
• Geodesic and Billiard Flows on Quadrics in Pseudo-Euclidean Spaces: L–A Pairs and Chasles Theorem 👍 👎

This page was built for publication: Relationship between Euclidean, Lobachevskian (hyperbolic), and billiard metrics and its application to a billiard problem in \(\mathbb R^d\)

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1876384)