14 citations · 43 across the 14 of their papers we have counts for
16 papers
On the structure of -step nilpotent Lorentzian naturally reductive Lie groups
Brian Luporini, Silvio Reggiani, Francisco Vittone
We study -step nilpotent Lie groups with naturally reductive left-invariant Lorentzian metrics with respect to the presentation group . Replacin…
The distribution of symmetry of Lorentzian naturally reductive nilmanifolds
Brian Luporini, Silvio Reggiani, Francisco Vittone
We study -step nilpotent Lorentzian Lie groups , which are naturally reductive with respect to a certain class of transitive subgroups of isometries. We describe the isotropy…
The geometry of sedenion zero divisors
Silvio Reggiani
The sedenion algebra is a non-commutative, non-associative, -dimensional real algebra with zero divisors. It is obtained from the octonions through the Cayley-Dicks…
The moduli space of left-invariant metrics on six-dimensional characteristically solvable nilmanifolds
Isolda Cardoso, Ana Cosgaya, Silvio Reggiani
A real Lie algebra is said to be characteristically solvable if its derivation algebra is solvable. We explicitly determine the moduli space of left-invariant metrics, up to isomet…
Isometry groups of three-dimensional Lie groups
Ana Cosgaya, Silvio Reggiani
We compute the full isometry group of any left invariant metric on a simply connected, non-unimodular Lie group of dimension three. As an application, we determine the index of sym…
The moduli space of left-invariant metrics of a class of six-dimensional nilpotent Lie groups
Silvio Reggiani, Francisco Vittone
In this paper we determine the moduli space, up to isometric automorphism, of left-invariant metrics on a -dimensional Lie group , such that its Lie algebra ad…