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math.DS2020
Integrable Billiards on a Minkowski Hyperboloid: Extremal Polynomials and Topology
Vladimir Dragovic, Sean Gasiorek, Milena Radnovic
We consider billiard systems within compact domains bounded by confocal conics on a hyperboloid of one sheet in the Minkowski space. We derive conditions for elliptic periodicity f…
math.DS2020★ 6 cited
Pseudo-Euclidean Billiards within Confocal Curves on the Hyperboloid of One Sheet
Sean Gasiorek, Milena Radnovic
We consider a billiard problem for compact domains bounded by confocal conics on a hyperboloid of one sheet in the Minkowski space. We show that there are two types of confocal fam…