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arXiv · 2503.21484

A mapping tori construction of strong HKT and generalized hyperk\"ahler manifolds

Beatrice Brienza·Anna Fino·Gueo Grantcharov
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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.

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Beatrice Brienza, Anna Fino, Gueo Grantcharov. 2025-03-27. A mapping tori construction of strong HKT and generalized hyperk\"ahler manifolds. https://arxiv.org/abs/2503.21484

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