2 papers
math.DG2025
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 pre…
math.DG2025
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…