When different norms lead to same billiard trajectories?

Extending a result of Milena Radnović and Serge Tabachnikov, we establish conditions for two different non-symmetric norms to define the same billiard reflection law.

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Bibliographic Details
Published in:European journal of mathematics 2022-12, Vol.8 (4), p.1309-1312
Main Authors: Akopyan, Arseniy, Karasev, Roman
Format: Article
Language:English
Subjects:
Algebraic Geometry
Mathematics
Mathematics and Statistics
Norms
Research Article
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Online Access:Get full text
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Description
Summary:Extending a result of Milena Radnović and Serge Tabachnikov, we establish conditions for two different non-symmetric norms to define the same billiard reflection law.
ISSN:2199-675X
2199-6768
DOI:10.1007/s40879-020-00405-0