3 papers
math.DG2025
Classification of almost abelian Lie groups admitting left-invariant complex or symplectic structures
Romina M. Arroyo, MarÃa 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.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…