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arxiv: 1108.5859 · v1 · pith:BTDZISLNnew · submitted 2011-08-30 · 🧮 math.DG

Almost Hermitian Manifolds with Vanishing Bochner Curvature Tensor

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keywords almostbochnercurvaturehermitianpointtensorvanishingclassical
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It is proved that if an almost Hermitian manifold of dimension greater than 4 has vanishing (classical) Bochner curvature tensor and is not Kaehlerian at a point, then it is flat in a neighbourhood of this point.

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