Abstract
We study the decomposition of the Riemannian curvature R tensor of an almost quaternion-Hermitian manifold under the action of its structure group Sp( n ) Sp(1). Using the minimal connection, we show that most components are determined by the intrinsic torsion ξ and its covariant derivative and determine relations between the decompositions of ξ ⊗ ξ , and R . We pay particular attention to the behaviour of the Ricci curvature and the q-Ricci curvature.
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