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The intrinsic torsion of almost quaternion-Hermitian manifolds

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  • Francisco Martín Cabrera, University of La Laguna
  • ,
  • Andrew Swann

We study the intrinsic torsion of almost quaternion-Hermitian manifolds via the exterior algebra. In particular, we show how it is determined by particular three-forms formed from simple combinations of the exterior derivatives of the local Kähler forms. This gives a practical method to compute the intrinsic torsion and is applied in a number of examples. In addition we find simple characterisations of HKT and QKT geometries entirely in the exterior algebra and compute how the intrinsic torsion changes under a twist construction.

Original languageEnglish
JournalAnnales de l'Institut Fourier
Pages (from-to)1455-1497
Number of pages43
Publication statusPublished - 1 Jan 2008
Externally publishedYes

    Research areas

  • Almost Hermitian structure, Almost quaternion-Hermitian structure, G-connection, G-structure, HKT-manifold, Intrinsic torsion, QKT-manifold

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