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arxiv: 0708.1403 · v2 · submitted 2007-08-10 · 🧮 math.DG

Four-dimensional almost Hermitian manifolds with vanishing Tricerri-Vanhecke Bochner curvature tensor

classification 🧮 math.DG
keywords curvaturemanifoldsalmostbochnerfour-dimensionalhermitiantensortheorems
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We study curvature properties of four-dimensional almost Hermitian manifolds with vanishing Bochner curvature tensor as defined by Tricerri and Vanhecke. We give local structure theorems for such Kaehler manifolds, and find out several examples related to the theorems.

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