51 citations · 184 across the 30 of their papers we have counts for
34 papers
Betti and Hodge numbers of solvmanifolds arising from integer polynomials
Adrián Andrada, Valentina Chaves
We study the de Rham cohomology of three families of completely solvable almost abelian solvmanifolds (called basic, complex, and hypercomplex) constructed from a monic integer pol…
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…
Complex structures on 2-step nilpotent Lie algebras arising from graphs
Adrián Andrada, Sonia Vera
This work investigates the existence of complex structures on 2-step nilpotent Lie algebras arising from finite graphs. We introduce the notion of adapted complex structure, namely…
Holonomy of the Obata connection on 2-step hypercomplex nilmanifolds
Adrián Andrada, María Laura Barberis, Beatrice Brienza
We study the holonomy of the Obata connection on 2-step hypercomplex nilmanifolds. By explicitly computing the curvature tensor, we determine the conditions under which the Obata c…
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…
-Einstein Sasakian Lie algebras
Adrián M. Andrada, Simon G. Chiossi, Alberth J. Nuñez
We study -Einstein Sasakian structures on Lie algebras, that is, Sasakian structures whose associated Ricci tensor satisfies an Einstein-like condition. We divide into the cases…