8 citations · 53 across the 17 of their papers we have counts for
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math.DG2021
Ad-invariant metrics on nonnice nilpotent Lie algebras
Diego Conti, Viviana del Barco, Federico A. Rossi
We proved in previous work that all real nilpotent Lie algebras of dimension up to carrying an ad-invariant metric are nice. In this paper we show by constructing explicit exa…
math.DG2021★ 1 cited
Uniqueness of ad-invariant metrics
Diego Conti, Viviana del Barco, Federico A. Rossi
We consider Lie algebras admitting an ad-invariant metric, and we study the problem of uniqueness of the ad-invariant metric up to automorphisms. This is a common feature in low di…
math.DG2021
Conformal Killing forms on -step nilpotent Riemannian Lie groups
Viviana del Barco, Andrei Moroianu
We study left-invariant conformal Killing - or -forms on simply connected -step nilpotent Riemannian Lie groups. We show that if the center of the group is of dimension gr…