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On the boundedness of the sectional curvature of almost Hermitian manifolds - MaRDI portal

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On the boundedness of the sectional curvature of almost Hermitian manifolds

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Publication:3740587

zbMATH Open0604.53015arXiv1008.1933MaRDI QIDQ3740587

Author name not available (Why is that?)

Publication date: 1986

Abstract: We prove the following results: An almost Hermitian manifold of indefinite metric is of pointwise constant holomorphic sectional curvature if the holomorphic sectional curvature is bounded from above and from below. If the antiholomorphic sectional curvature is bounded either from above or from below, then the manifold is of pointwise constant antiholomorphic sectional curvature. Similar results are obtained for almost Hermitian manifolds of definite metric.


Full work available at URL: https://arxiv.org/abs/1008.1933



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