A mapping tori construction of strong HKT and generalized hyperkähler manifolds
arXiv:2503.21484
Abstract
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 torsion is parallel, but the manifolds are not a product of a hyperkähler manifold and a compact Lie group.
To appear in the volume "Real and Complex Geometry - in Honour of Paul Gauduchon"