A Mapping Tori Construction of Strong HKT and Generalized Hyperkähler Manifolds
Book Chapter
Brienza, B, Fino, A, Grantcharov, G. (2025). A Mapping Tori Construction of Strong HKT and Generalized Hyperkähler Manifolds
. 93-108. 10.1007/978-3-031-92297-8_4
Brienza, B, Fino, A, Grantcharov, G. (2025). A Mapping Tori Construction of Strong HKT and Generalized Hyperkähler Manifolds
. 93-108. 10.1007/978-3-031-92297-8_4
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.