20 citations · 110 across the 19 of their papers we have counts for
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math.DG2018★ 18 cited
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…
math.DG2018★ 12 cited
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…
math.DG2018★ 16 cited
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…