4 papers
Diagram involutions and homogeneous Ricci-flat metrics
Diego Conti, Viviana del Barco, Federico A. Rossi
We introduce a combinatorial method to construct indefinite Ricci-flat metrics on nice nilpotent Lie groups. We prove that every nilpotent Lie group of dimension , every nic…
Ricci-flat and Einstein pseudoriemannian nilmanifolds
Diego Conti, Federico A. Rossi
This is partly an expository paper, where the authors' work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of…
Indefinite Einstein metrics on nice Lie groups
Diego Conti, Federico A. Rossi
We introduce a systematic method to produce left-invariant, non-Ricci-flat Einstein metrics of indefinite signature on nice nilpotent Lie groups. On a nice nilpotent Lie group, we…
Construction of nice nilpotent Lie groups
Diego Conti, Federico A. Rossi
We illustrate an algorithm to classify nice nilpotent Lie algebras of dimension up to a suitable notion of equivalence; applying the algorithm, we obtain complete listings for…