5 citations · 7 across the 9 of their papers we have counts for
4 papers · 1 filter
The holonomy of the Obata connection on Joyce hypercomplex manifolds
Beatrice Brienza, Udhav Fowdar, Giovanni Gentili +1
We study the holonomy of the Obata connection on Joyce hypercomplex manifolds. For all such group manifolds except , we show that the holonomy group is strictly…
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…
On the structure of compact strong HKT manifolds
Beatrice Brienza, Anna Fino, Gueo Grantcharov +1
We study the geometry of compact strong HKT and, more generally, compact BHE manifolds. We prove that any compact BHE manifold with full holonomy must be Kähler and we establish a…
A mapping tori construction of strong HKT and generalized hyperkähler manifolds
Beatrice Brienza, Anna Fino, Gueo Grantcharov
In the present paper we provide a construction via mapping tori of (non Bismut flat) strong HKT and generalized hyperkähler structures on compact manifolds. The skew-symmetric tors…