2 citations · 5 across the 5 of their papers we have counts for
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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 ,…
Almost abelian pseudo-Kähler Lie algebras
Diego Conti, Alejandro Gil-García
We study invariant pseudo-Kähler structures on a solvmanifold such that the Lie algebra is almost abelian, that is ,…
The Ricci-flatness that lurks in weight
Diego Conti
We introduce two constructions to obtain left-invariant Ricci-flat pseudo-Riemannian metrics on nilpotent Lie groups, one based on gradings, the other on filtrations, both dependin…
A construction of Einstein solvmanifolds not based on nilsolitons
Diego Conti, Federico A. Rossi, Romeo Segnan Dalmasso
We construct indefinite Einstein solvmanifolds that are standard, but not of pseudo-Iwasawa type. Thus, the underlying Lie algebras take the form ,…
Pseudo-Kähler and hypersymplectic structures on semidirect products
Diego Conti, Alejandro Gil-García
We study left-invariant pseudo-Kähler and hypersymplectic structures on semidirect products ; we work at the level of the Lie algebra .…