On weakly symmetric and weakly Ricci-symmetric \(K\)-contant manifolds (Q2714268)
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scientific article; zbMATH DE number 1604156
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On weakly symmetric and weakly Ricci-symmetric \(K\)-contant manifolds |
scientific article; zbMATH DE number 1604156 |
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22 June 2005
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weakly symmetric Riemannian manifold
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\(K\)-contact manifold
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On weakly symmetric and weakly Ricci-symmetric \(K\)-contant manifolds (English)
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The notions of weakly symmetric and weakly Ricci-symmetric Riemannian manifolds were given and studied by \textit{L. Tamássy and T. Q. Binh} [Proc. Coll. Differential geometry and its applications, Eger 1989, North. Holland Publ. Comp., Colloq. Math. Soc. János Bolyai 56, 663--670 (1992; Zbl 0791.53021)]. There the compatibility of these conditions with Sasaki type structures was analyzed. In this paper these results are generalized for the case of \(K\)-contact structures. The authors give necessary conditions for the compatibility of several \(K\)-contact structures with weak symmetry, weak Ricci symmetry and almost Einstein properties.
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