Minkowski plane, confocal conics, and billiards

Publications De L'institut Mathematique Pub Date : 2013-12-19 DOI:10.2298/PIM1308017D

V. Dragović, M. Radnović

引用次数: 11

Abstract

Geometry of confocal conics in the Minkowski plane and related billiard dynamics are studied in details. Periodic trajectories are described and several new examples are presented. Topological properties of the elliptical billiards are analyzed and the results are formulated in the terms of the Fomenko graphs. [Projekat Ministarstva nauke Republike Srbije, br. 174020: Geometry and Topology of Manifolds and Integrable Dynamical Systems]

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闵可夫斯基平面，共焦圆锥和台球

详细研究了闵可夫斯基平面上的共焦圆锥几何及相关的台球动力学。描述了周期轨迹，并给出了几个新的例子。分析了椭圆台球的拓扑性质，并用Fomenko图表示了结果。[南斯拉夫]塞族共和国部长项目;[174020]流形与可积动力系统的几何与拓扑[j]

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Publications De L'institut Mathematique

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