7 papers · 1 filter
Construction of symplectic solvmanifolds satisfying the hard-Lefschetz condition
Adrián Andrada, AgustÃn Garrone
A compact symplectic manifold is said to satisfy the hard-Lefschetz condition if it is possible to develop an analogue of Hodge theory for . This loosely means t…
Applications of the quaternionic Jordan form to hypercomplex geometry
Adrián Andrada, MarÃa Laura Barberis
We apply the quaternionic Jordan form to classify the hypercomplex nilpotent almost abelian Lie algebras in all dimensions and to carry out the complete classification of 12-dimens…
Harmonic almost complex structures on almost abelian Lie groups and solvmanifolds
Adrián Andrada, Alejandro Tolcachier
An almost abelian Lie group is a solvable Lie group with a codimension-one normal abelian subgroup. We characterize almost Hermitian structures on almost abelian Lie groups where t…
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…
On the canonical bundle of complex solvmanifolds and applications to hypercomplex geometry
Adrián Andrada, Alejandro Tolcachier
We study complex solvmanifolds with holomorphically trivial canonical bundle. We show that the trivializing section of this bundle can be either invariant or non-i…
Locally conformally product structures on solvmanifolds
Adrián Andrada, Viviana del Barco, Andrei Moroianu
We study left invariant locally conformally product structures on simply connected Lie groups and give their complete description in the solvable unimodular case. Based on previous…