Remarks on Einstein-like Hermitian manifolds (Q532116)
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scientific article; zbMATH DE number 5881210
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on Einstein-like Hermitian manifolds |
scientific article; zbMATH DE number 5881210 |
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Remarks on Einstein-like Hermitian manifolds (English)
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26 April 2011
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The main purpose of the paper under review is to study Hermitian manifolds \(M^{2n}=(M^{2n},J, g)\) of dimension \(2n\geq 4\). The author investigates for these manifolds some relations between such conditions as: an Einstein Hermitian manifold, a weakly \(\ast\)-Einstein Hermitian manifold, a \(c\)-Einstein Hermitian manifold, a \(J\)-invariant Ricci tensor, a \(J\)-invariant traceless Ricci tensor.
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Einstein Hermitian manifold
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weakly \(\ast\)-Einstein Hermitian manifold
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\(c\)-Einstein
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\(J\)-invariant Ricci tensor
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\(J\)-invariant traceless Ricci tensor
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Hermitian manifolds
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