Isolation theorems of the Bochner curvature type tensors (Q1890474)

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scientific article; zbMATH DE number 2124831
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Isolation theorems of the Bochner curvature type tensors
scientific article; zbMATH DE number 2124831

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    Isolation theorems of the Bochner curvature type tensors (English)
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    4 January 2005
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    An isolation theorem of the Bochner curvature tensor of a Kähler-Einstein manifold is obtained in the case when its \(L^{\frac{n}{2}}\)-norm is small. Moreover, an isolation theorem of the contact Bochner curvature tensor for a Sasakian manifold is also given. These results are proved with the help of the Weitzenböck formula.
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    Bochner curvature tensor
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    Kähler-Einstein manifold
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    Sasakian-Einstein manifold
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