EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)
Vol. 74(88), pp. 97–101 (2003)

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A NOTE ON BILLIARD SYSTEMS IN FINSLER PLANE WITH ELLIPTIC INDICATRICES

Milena Radnovic

Matematicki institut, Kneza Mihaila 35, Beograd, Serbia

Abstract: Billiards in the plane with a homogeneous Finsler metric are considered, where the indicatrix is an ellipse. It is proved that billiards in such spaces, up to a linear transformation, have the same trajectories like billiards in the Euclidean plane.

Classification (MSC2000): 70F35; 53B40

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Electronic fulltext finalized on: 21 Dec 2004. This page was last modified: 9 Feb 2005.

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