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Pinching theorems for a vanishing C-Bochner curvature tensor - MaRDI portal

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Pinching theorems for a vanishing C-Bochner curvature tensor (Q1634686)

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scientific article; zbMATH DE number 6994834
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English
Pinching theorems for a vanishing C-Bochner curvature tensor
scientific article; zbMATH DE number 6994834

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    Pinching theorems for a vanishing C-Bochner curvature tensor (English)
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    18 December 2018
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    Summary: The main purpose of this article is to construct inequalities between a main intrinsic invariant (the normalized scalar curvature) and an extrinsic invariant (the Casorati curvature) for some submanifolds in a Sasakian manifold with a zero C-Bochner tensor.
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    C-Bochner tensor
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    generalized normalized \(\delta\)-Casorati curvature
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    Sasakian manifold
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    slant
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    invariant
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    anti-invariant
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