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The intrinsic torsion of almost quaterni...
Cabrera, Francisco M...
The intrinsic torsion of almost quaternion-Hermitian manifolds by Cabrera, Francisco Martin ( Author )
Australian National University
01-08-2023
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 Kaehler 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.
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Article
pdf
29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/0707.0939
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