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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.DS2021★ 2 cited
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 $…