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A Mapping Tori Construction of Strong HKT and Generalized Hyperkähler Manifolds

In: Real and Complex Geometry

Author

Listed:
  • Beatrice Brienza

    (Università degli studi di Torino, Dipartimento di Matematica “G. Peano”)

  • Anna Fino

    (Università degli studi di Torino, Dipartimento di Matematica “G. Peano”
    Florida International University, Department of Mathematics and Statistics)

  • Gueo Grantcharov

    (Florida International University, Department of Mathematics and Statistics)

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.

Suggested Citation

  • Beatrice Brienza & Anna Fino & Gueo Grantcharov, 2025. "A Mapping Tori Construction of Strong HKT and Generalized Hyperkähler Manifolds," Springer Books, in: Liviu Ornea (ed.), Real and Complex Geometry, pages 93-108, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-92297-8_4
    DOI: 10.1007/978-3-031-92297-8_4
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