activity
19992026
most citedGeometry of Hyper-Kähler Connections with Torsion

134 citations · 229 across the 31 of their papers we have counts for

collaborators

35 papers

math.DG2026

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…

math.DG2026

-Kähler structures on fibrations and reductive Lie groups

Anna Fino, Gueo Grantcharov, Asia Mainenti

We investigate the existence of -Kähler structures on two classes of complex manifolds: on quasi-regular fibrations, with particular emphasis on complex homogeneous spaces, and…

math.DG2026

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…

math.DG2026

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…

math.DG2025

$\del\delbar$-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…

math.DG2025

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…