2 papers
math.DS2025
Outer billiards in the complex hyperbolic plane
Yamile Godoy, Marcos Salvai
Given a quadratically convex compact connected oriented hypersurface of the complex hyperbolic plane, we prove that the characteristic rays of the symplectic form restricted to…
math.DS2025
Outer billiards in the spaces of oriented geodesics of the three dimensional space forms
Yamile Godoy, Michael Harrison, Marcos Salvai
Let be the three-dimensional space form of constant curvature , that is, Euclidean space , the sphere , or hyperbolic space . Let…