Outer billiards in the spaces of oriented geodesics of the three dimensional space forms

Yamile Godoy, Michael Harrison, Marcos Salvai

Let $M_{\hat{I}º}$ be the three-dimensional space form of constant curvature $\hat{I}º=0,1,-1$, that is, Euclidean space ${\mathbb{R}}^3$, the sphere $S^3$, or hyperbolic space $H^3$. Let…