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Curvature of almost quaternion-Hermitian manifolds

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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 and its covariant derivative and determine relations between the decompositions of ⊗ , and R. We pay particular attention to the behaviour of the Ricci curvature and the q-Ricci curvature.

Original languageEnglish
JournalForum Mathematicum
Pages (from-to)21-52
Number of pages32
Publication statusPublished - 1 Jan 2010
Externally publishedYes

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