5 citations · 11 across the 5 of their papers we have counts for
12 papers
Weyl-Einstein structures on conformal solvmanifolds
Viviana del Barco, Andrei Moroianu, Arthur Schichl
A conformal Lie group is a conformal manifold such that has a Lie group structure and is the conformal structure defined by a left-invariant metric on . We s…
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…
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…
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…
Conformal Killing symmetric tensors on Lie groups
Viviana del Barco, Andrei Moroianu
We introduce the notion of metric Lie algebras of Killing type, which are characterized by the fact that all conformal Killing symmetric tensors are sums of Killing tensors and mul…
Purely coclosed G-structures on 2-step nilpotent Lie groups
Viviana del Barco, Andrei Moroianu, Alberto Raffero
We consider left-invariant (purely) coclosed G-structures on 7-dimensional 2-step nilpotent Lie groups. According to the dimension of the commutator subgroup, we obtain various…