5 citations · 5 across the 12 of their papers we have counts for
14 papers
Strong -structures with torsion: a survey and new examples
Anna Fino, Udhav Fowdar
This article has two main parts. The first consists of a brief survey of -structures with torsion, namely -structures admitting a -connection with totally skew-symme…
Almost Hermitian geometry and generalized Ricci flow
Anna Fino, Julieth Saavedra
We study almost Hermitian manifolds whose lowered Nijenhuis tensor is totally skew-symmetric and whose characteristic (Bismut) torsion is closed, the almost-SKT condition. This ext…
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…
New Solutions to the Hull-Strominger System via torus fibrations over orbifolds
Anna Fino, Gueo Grantcharov, Jose Medel
Using torus fibrations over K3 orbisurfaces, we construct new smooth solutions to the Hull-Strominger system. These manifolds arise as total spaces of principal (orbi)b…
On a Modification of the Twistor Space
Anna Fino, Gueo Grantcharov, Alberto Pipitone Federico
In the paper we construct a modification of the twistor space of a Kähler scalar flat surface and study its complex-geometric and metric properties. In particular, we co…
$\del\delbar$-Lemma and Bott-Chern cohomology of twistor spaces
Anna Fino, Gueo Grantcharov, Nicoletta Tardini +2
In the paper we study the Bott-Chern and Aeppli cohomologies of the twistor space of a compact self-dual 4-manifold and we characterize the validity of the $\partial \overline \par…
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…
Fibrations Over Singular K3 Surfaces and New Solutions to the Hull-Strominger System
Anna Fino, Gueo Grantcharov, Jose Medel
Using fibrations over K3 orbisurfaces we construct new smooth solutions to the Hull-Strominger system. In particular, we prove that, for and , t…
On the type of generalized hypercomplex structures
Anna Fino, Gueo Grantcharov
The generalized hypercomplex structures defined within the framework of generalized geometry include hypercomplex and holomorphic symplectic structures as particular cases. They ha…
On the nu-invariant of two-step nilmanifolds with closed G2-structure
Anna Fino, Gueo Grantcharov, Giovanni Russo
For every non-vanishing spinor field on a Riemannian spin seven-manifold, Crowley, Goette, and Nordström defined the so-called -invariant. This is an integer modulo that de…
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…
The pluriclosed flow for -invariant Vaisman metrics on the Kodaira-Thurston surface
Anna Fino, Gueo Grantcharov, Eddy Perez
In this note we study -invariant pluriclosed metrics on the Kodaira-Thurston surface. We obtain a characterization of -invariant Vaisman metrics, and notice that the Koda…