18 citations · 18 across the 4 of their papers we have counts for
5 papers
Stability of Abelian Complex Structures
Sergio Console, Anna Fino, Yat-Sun Poon
Let be a nilmanifold endowed with an invariant complex structure. We prove that Kuranishi deformations of abelian complex structures are all invariant complex s…
The moduli space of 6-dimensional 2-step nilpotent Lie algebras
Sergio Console, Anna Fino, Evangelia Samiou
We determine the moduli space of metric 2-step nilpotent Lie algebras of dimension up to 6. This space is homeomorphic to a cone over a 4-dimensional contractible simplicial comple…
Almost Kähler 4-dimensional Lie groups with -invariant Ricci tensor
Anna Fino
The aim of this paper is to determine left-invariant strictly almost Kähler structures on 4-dimensional Lie groups such that the Ricci tensor is -invariant.
On some properties of the manifolds with skew-symmetric torsion and holonomy SU(n) and Sp(n)
Anna Fino, Gueo Grantcharov
In this paper we provide examples of hypercomplex manifolds which do not carry HKT structure. We also prove that the existence of HKT structure is not stable under small deformatio…
Dolbeault Cohomology of compact Nilmanifolds
S. Console, A. Fino
Let be a compact nilmanifold endowed with an invariant complex structure. We prove that, on an open set of any connected component of the moduli space ${\cal C} ({\frak g}…