Almost Hermitian Manifolds with Vanishing Bochner Curvature Tensor

Ognian Kassabov

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arXiv · 1108.5859

Almost Hermitian Manifolds with Vanishing Bochner Curvature Tensor

Ognian Kassabov

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Abstract

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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Ognian Kassabov. 2011-08-30. Almost Hermitian Manifolds with Vanishing Bochner Curvature Tensor. https://arxiv.org/abs/1108.5859

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