Curvature of Almost Quaternion- Hermitian Manifolds
نویسندگان
چکیده
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 ∇̃ξ and determine relations between the decompositions of ξ ⊗ ξ, ∇̃ξ and R. We pay particular attention to the behaviour of the Ricci curvature and the q-Ricci curvature. Mathematics Subject Classification (2000): Primary 53C55; Secondary 53C10, 53C15.
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