A mapping tori construction of strong HKT and generalized hyperkähler manifolds

Fuente: arXiv
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Auteurs principaux: Brienza, Beatrice, Fino, Anna, Grantcharov, Gueo
Format: Preprint
Publié: 2025
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author Brienza, Beatrice
Fino, Anna
Grantcharov, Gueo
author_facet Brienza, Beatrice
Fino, Anna
Grantcharov, Gueo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_21484
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A mapping tori construction of strong HKT and generalized hyperkähler manifolds
Brienza, Beatrice
Fino, Anna
Grantcharov, Gueo
Differential Geometry
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.
title A mapping tori construction of strong HKT and generalized hyperkähler manifolds
topic Differential Geometry
url https://arxiv.org/abs/2503.21484