1 citations · 1 across the 5 of their papers we have counts for
6 papers
On centerless unimodular contact Lie algebras
Agustín Garrone
We provide an elementary proof that, in a (transversely) unimodular contact Lie algebra, the adjoint action of the Reeb vector is nilpotent except when the Lie algebra is isomorphi…
1-Lefschetz contact solvmanifolds
Adrián Andrada, Agustín Garrone
We study the contact Lefschetz condition on compact contact solvmanifolds, as introduced by B.\ Cappelletti-Montano, A.\ De Nicola and I.\ Yudin. We seek to fill the gap in the lit…
Symplectic solvmanifolds not satisfying the hard-Lefschetz condition
Adrián Andrada, Agustín Garrone
For Lie groups of the form , with even, a result of H. Kasuya shows that if the action is semisimple then any s…
Hypercomplex structures on special linear groups
Adrián Andrada, Agustín Garrone, Alejandro Tolcachier
The purpose of this article is twofold. First, we prove that the -dimensional Lie group does not admit a left-invariant hypercomplex structure.…
Construction of symplectic solvmanifolds satisfying the hard-Lefschetz condition
Adrián Andrada, Agustín 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 tha…
New examples of G-structures with divergence-free torsion
Agustín Garrone
Interest in Riemannian manifolds with holonomy equal to the exceptional Lie group have spurred extensive research in geometric flows of -structures def…