Curvature of almost quaternion-Hermitian manifolds

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dc.creatorCabrera, Francisco Martin
dc.creatorSwann, Andrew
dc.date2007-08-02
dc.date.accessioned2026-07-07T08:21:53Z
dc.date.available2026-07-07T08:21:53Z
dc.descriptionWe 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.
dc.description40 pages
dc.identifierhttps://arxiv.org/abs/0708.0309
dc.identifierhttp://arxiv.org/abs/0708.0309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135469
dc.subjectDifferential Geometry
dc.subject53C55, 53C10, 53C15
dc.titleCurvature of almost quaternion-Hermitian manifolds
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