Ricci tensor of \(C\)-totally real submanifolds in Sasakian space forms (Q1812281)
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scientific article; zbMATH DE number 1932205
| Language | Label | Description | Also known as |
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| English | Ricci tensor of \(C\)-totally real submanifolds in Sasakian space forms |
scientific article; zbMATH DE number 1932205 |
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Ricci tensor of \(C\)-totally real submanifolds in Sasakian space forms (English)
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2002
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In the reviewed paper the authors consider \(C\)-totally real submanifolds in a Sasakian space form of constant \(\phi\)-sectional curvature. They obtain a sharp estimate of the Ricci tensor in terms of the squared mean curvature. Moreover, they shows that if in the proved inequality the equality holds then the considered submanifold is minimal.
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Sasakian space form
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\(C\)-totally real submanifold
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Ricci tensor
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mean curvature
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Ricci curvature
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