A Mapping Tori Construction of Strong HKT and Generalized Hyperkähler Manifolds

Beatrice Brienza (), Anna Fino () and Gueo Grantcharov ()
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Beatrice Brienza: Università degli studi di Torino, Dipartimento di Matematica “G. Peano”
Anna Fino: Università degli studi di Torino, Dipartimento di Matematica “G. Peano”
Gueo Grantcharov: Florida International University, Department of Mathematics and Statistics

A chapter in Real and Complex Geometry, 2025, pp 93-108 from Springer

Abstract: 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.

Keywords: Mapping tori; HKT structure; Generalized hyperkähler structure; 53C26 (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-92297-8_4

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DOI: 10.1007/978-3-031-92297-8_4

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