51 citations · 122 across the 18 of their papers we have counts for
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Complex structures on two-step nilpotent Lie groups
Maria Laura Barberis
We give a characterization of the -step nilpotent Lie algebras whose corresponding Lie groups admit a left invariant complex structure. This is done by considering separately th…
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…
Almost abelian complex nilmanifolds
Adrián Andrada, Romina M. Arroyo, María L. Barberis +2
We show that a complex structure on a nilpotent almost abelian real Lie algebra is unique if it exists. As a consequence, we get full control over the cohomology and deformations o…