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math.DG2023
Hermitian structures on six-dimensional almost nilpotent solvmanifolds
Anna Fino, Fabio Paradiso
We complete the classification of six-dimensional strongly unimodular almost nilpotent Lie algebras admitting complex structures. For several cases we describe the space of complex…
math.DG2021
Locally conformally balanced metrics on almost abelian Lie algebras
Fabio Paradiso
We study locally conformally balanced metrics on almost abelian Lie algebras, namely solvable Lie algebras admitting an abelian ideal of codimension one, providing characterization…
math.DG2020
Generalized Kähler almost abelian Lie groups
Anna Fino, Fabio Paradiso
We study left-invariant generalized Kähler structures on almost abelian Lie groups, i.e., on solvable Lie groups with a codimension-one abelian normal subgroup. In particular, we c…