Romina M. Arroyo

collaborators

2 papers

math.DG2025

Classification of almost abelian Lie groups admitting left-invariant complex or symplectic structures

Romina M. Arroyo, MarÃa L. Barberis, VerÃ³nica S. Diaz +2

We classify the almost abelian Lie algebras $g_{A} = R e_{0} ⋉_{A} R^{2 n - 1}$ admitting complex or symplectic structures. The matrix $A\in M(2n-1,\mathbb R )…

math.DG2025

Almost abelian complex nilmanifolds

AdriÃ¡n Andrada, Romina M. Arroyo, MarÃa L. Barberis +2

We show that a complex structure on a nilpotent almost abelian real Lie algebra is unique if it exists. As a consequence, we get full control over the cohomology and deformations o…