English

When different norms lead to same billiard trajectories?

Metric Geometry 2022-02-03 v1 Differential Geometry Dynamical Systems

Abstract

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

Keywords

Cite

@article{arxiv.1912.12685,
  title  = {When different norms lead to same billiard trajectories?},
  author = {Arseniy Akopyan and Roman Karasev},
  journal= {arXiv preprint arXiv:1912.12685},
  year   = {2022}
}

Comments

3 pages, 2 figures

R2 v1 2026-06-23T12:58:28.683Z