51 citations · 127 across the 9 of their papers we have counts for
8 papers · 1 filter
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…
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…
Double products and hypersymplectic structures on
Adrian Andrada, Isabel Dotti
In this paper we give a procedure to construct hypersymplectic structures on beginning with affine-symplectic data on . These structures are shown to be invariant…