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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.

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A Mapping Tori Construction of Strong HKT and Generalized Hyperkähler Manifolds

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  • 发表日期：

    2025年

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  • Beatrice Brienza,
  • Anna Fino,
  • Gueo Grantcharov

摘要

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.