4 papers · 1 filter
A remark on the second order estimates for the quaternionic Calabi-Yau problem on hyperkähler manifolds
Giovanni Gentili, Luigi Vezzoni
We revisit the second order estimate for solutions to the quaternionic Calabi-Yau problem on hyperkähler manifolds, originally established by Dinew and Sroka. In this note, we pres…
The heterotic G-system on 2-step nilmanifolds endowed with principal torus bundles
Andrei Moroianu, Alberto Raffero, Luigi Vezzoni
We study the geometric heterotic G-system on 7-dimensional 2-step nilmanifolds endowed with principal torus bundles and with a prescribed flat tangent bundle…
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…
$\del\delbar$-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…