When different norms lead to same billiard trajectories?

Abstract

In this paper, extending the works of Milena Radnović and Serge Tabachnikov, we establish conditions for two different non-symmetric norms to define the same billiard reflection law.

3 pages, 2 figures

References in corpus (2)

• Incircular nets and confocal conics
• Elementary approach to closed billiard trajectories in asymmetric normed spaces