On weakly \(W_3\)-symmetric manifolds (Q2904104)
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scientific article; zbMATH DE number 6063570
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On weakly \(W_3\)-symmetric manifolds |
scientific article; zbMATH DE number 6063570 |
Statements
6 August 2012
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weakly \(W_3\)-symmetric manifold
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\(W_3\)-curvature tensor
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decomposable manifold
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scalar curvature
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totally umbilical hypersurfaces
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totally geodesic
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mean curvature
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On weakly \(W_3\)-symmetric manifolds (English)
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The object of the paper under review is to study weakly \(W_3\)-symmetric manifolds and its decomposability with the existence of such notions. Among others it is shown that in a decomposable weakly \(W_3\)-symmetric manifold both decompositions are weakly Ricci symmetric.
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