5 citations · 7 across the 9 of their papers we have counts for
9 papers
Sasaki with torsion manifolds and string backgrounds
Beatrice Brienza, Anna Fino, Udhav Fowdar +1
Motivated by the analogy with the Bismut connection in Hermitian geometry, we study Sasaki with torsion manifolds. In particular, we characterize co-Kähler-like and flat Sasaki wit…
Hermitian curvature flow and HKT geometry
Beatrice Brienza, Jeffrey Streets
We identify a Hermitian curvature flow which preserves HKT geometry, and whose fixed points are HKT-Einstein metrics, equivalent to a flow suggested by Verbitsky in the context of…
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…
SKT solvable Lie algebras with codimension two nilradical
Beatrice Brienza, Anna Fino
In the present paper we study SKT and generalized Kähler structures on solvable Lie algebras with (not necessarily abelian) codimension two nilradical. We treat separately the case…
CYT and SKT manifolds with parallel Bismut torsion
Beatrice Brienza, Anna Fino, Gueo Grantcharov
In the present paper, we study compact complex manifolds admitting a Hermitian metric which is SKT and CYT and whose Bismut torsion is parallel. We first obtain a characterization…
Generalized Kähler manifolds via mapping tori
Beatrice Brienza, Anna Fino
Starting from the product of a -torus and a compact Kähler (respectively, hyperKähler) manifold we construct via mapping tori generalized Kähler manifolds of split (respectively…