On four-dimensional almost Kähler Einstein manifolds with Hermitian Weyl tensor (Q2761886)

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scientific article; zbMATH DE number 1686466
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On four-dimensional almost Kähler Einstein manifolds with Hermitian Weyl tensor
scientific article; zbMATH DE number 1686466

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    7 January 2002
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    Kähler manifolds
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    almost Kähler manifolds
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    Ricci \(\ast \)-tensor
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    Hermitian Weyl tensor
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    On four-dimensional almost Kähler Einstein manifolds with Hermitian Weyl tensor (English)
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    The authors of this interesting paper investigate the integrability of almost Kähler manifold. The main result is that a four-dimensional almost Kähler-Einstein manifold \(M\) with Hermitian Weyl tensor is a Kähler manifold. Here it is essentially that the manifold \(M\) is not compact.
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