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 ξand its covariant derivative \widetilde\nablaξand determine relations between the decompositions of ξ\otimesξ, \widetilde\nablaξand R. We pay particular attention to the behaviour of the Ricci curvature and the q-Ricci curvature.
40 pages

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Differential Geometry, 53C55, 53C10, 53C15

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http://salesiana.dossiersoluciones.com/handle/123456789/135469

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.0309
 http://arxiv.org/abs/0708.0309

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arXiv