3 papers
math.DG2026
Almost abelian pseudo-Kähler Lie algebras
Diego Conti, Alejandro Gil-GarcÃa
We study invariant pseudo-Kähler structures on a solvmanifold such that the Lie algebra is almost abelian, that is ,…
math.DG2025
Harmful structures and Killing spinors on unimodular Lie groups
Diego Conti, Federico A. Rossi, Romeo Segnan Dalmasso
A pseudo-Riemannian Einstein manifold with a Killing spinor and Killing constant induces on its nondegenerate hypersurfaces a pair of spinors and a symmetric tensor $A…
math.DG2024
Pseudo-Kähler and hypersymplectic structures on semidirect products
Diego Conti, Alejandro Gil-GarcÃa
We study left-invariant pseudo-Kähler and hypersymplectic structures on semidirect products ; we work at the level of the Lie algebra …