Open AccessA note on billiard systems in Finsler plane with elliptic indicatrices
Author(s) -
Milena Radnović
Publication year - 2003
Publication title -
publications de l institut mathematique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 17
eISSN - 1820-7405
pISSN - 0350-1302
DOI - 10.2298/pim0374097r
Subject(s) - dynamical billiards , ellipse , plane (geometry) , homogeneous , euclidean geometry , mathematics , transformation (genetics) , metric (unit) , mathematical analysis , geometry , combinatorics , biochemistry , chemistry , operations management , economics , gene
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.
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