A mapping tori construction of strong HKT and generalized hyperk\"ahler manifolds
Differential Geometry
2025-03-28 v1
Abstract
In the present paper we provide a construction via mapping tori of (non Bismut flat) strong HKT and generalized hyperk\"ahler structures on compact manifolds. The skew-symmetric torsion is parallel, but the manifolds are not a product of a hyperk\"ahler manifold and a compact Lie group.
Cite
@article{arxiv.2503.21484,
title = {A mapping tori construction of strong HKT and generalized hyperk\"ahler manifolds},
author = {Beatrice Brienza and Anna Fino and Gueo Grantcharov},
journal= {arXiv preprint arXiv:2503.21484},
year = {2025}
}
Comments
To appear in the volume "Real and Complex Geometry - in Honour of Paul Gauduchon"