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The intrinsic torsion of almost quaternion-Hermitian manifolds

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  • Francisco Martín Cabrera, La Laguna University
  • ,
  • 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.

OriginalsprogEngelsk
TidsskriftAnnales de l'Institut Fourier
Vol/bind58
Nummer5
Sider (fra-til)1455-1497
Antal sider43
ISSN0373-0956
DOI
StatusUdgivet - 1 jan. 2008
Eksternt udgivetJa

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