51 citations · 127 across the 9 of their papers we have counts for
10 papers
Killing-Yano 2-forms on 2-step nilpotent Lie groups
Adrián Andrada, Isabel G. Dotti
In this article we show that the only 2-step nilpotent Lie groups which carry a non-degenerate left invariant Killing-Yano 2-form are the complex Lie groups. In the case of 2-step…
Abelian Hermitian geometry
Adrian Andrada, Maria Laura Barberis, Isabel Dotti
We study the structure of Lie groups admitting left invariant abelian complex structures in terms of commutative associative algebras. If, in addition, the Lie group is equipped wi…
Complex connections with trivial holonomy
A. Andrada, M. L. Barberis, I. G. Dotti
Given an almost complex manifold (M, J), we study complex connections with trivial holonomy and such that the corresponding torsion is either of type (2,0) or of type (1,1) with re…
Classification of abelian complex structures on 6-dimensional Lie algebras
A. Andrada, M. L. Barberis, I. G. Dotti
We classify the 6-dimensional Lie algebras that can be endowed with an abelian complex structure and parameterize, on each of these algebras, the space of such structures up to hol…
Canonical bundles of complex nilmanifolds, with applications to hypercomplex geometry
Maria Laura Barberis, Isabel G. Dotti, Misha Verbitsky
A nilmanifold is a quotient of a nilpotent group by a co-compact discrete subgroup. A complex nilmanifold is one which is equipped with a -invariant complex structure. We pr…
Hermitian structures on cotangent bundles of four dimensional solvable Lie groups
L. C. de Andrés, M. L. Barberis, I. Dotti +1
We study hermitian structures, with respect to the standard neutral metric on the cotangent bundle of a 2n-dimensional Lie group , which are left invariant with respect t…