3 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.DG2024
Classification of almost abelian Lie groups admitting left-invariant complex or symplectic structures
Romina M. Arroyo, María L. Barberis, Verónica S. Diaz +2
We classify the almost abelian Lie algebras admitting complex or symplectic structures. The matrix $A\in M(2n-1,\mathbb R )…
math.GT2022
Tangent ray foliations and their associated outer billiards
Yamile Godoy, Michael Harrison, Marcos Salvai
Let be a unit vector field on a complete, umbilic (but not totally geodesic) hypersurface in a space form; for example on the unit sphere …