EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 94(108), pp. 17–30 (2013)

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MINKOWSKI PLANE, CONFOCAL CONICS, AND BILLIARDS

Vladimir Dragovic, Milena Radnovic

Matematicki institut SANU, Beograd, Serbia

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 terms of the Fomenko graphs.

Keywords: Poncelet theorem; periodic billiard trajectories; light-like billiard trajectories

Classification (MSC2000): 37J3; 70H06, 70H12

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Electronic fulltext finalized on: 8 Nov 2013. This page was last modified: 22 Nov 2013.

© 2013 Mathematical Institute of the Serbian Academy of Science and Arts
© 2013 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition