Contact Riemannian manifolds satisfying \(C(\xi,X)S=0\) and \(\xi\in (k,\mu)\)-nullity distribution (Q2731557)
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scientific article; zbMATH DE number 1626111
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Contact Riemannian manifolds satisfying \(C(\xi,X)S=0\) and \(\xi\in (k,\mu)\)-nullity distribution |
scientific article; zbMATH DE number 1626111 |
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19 February 2004
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contact metric manifold
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\(k\)-nullity distribution
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0.91541535
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0.9152921
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0.90885735
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Contact Riemannian manifolds satisfying \(C(\xi,X)S=0\) and \(\xi\in (k,\mu)\)-nullity distribution (English)
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Contact metric manifolds with the Reeb field \(\xi\) belonging to the \((k,\mu)\)-nullity distribution were discussed in [\textit{D. E. Blair, Th. Koufogiorgos} and \textit{B. J. Papantoniou}, Isr. J. Math. 91, 189-214 (1995; Zbl 0837.53038)]. In this note, such manifolds are classified (locally) under the further assumption \(C(\xi,X)S=0\), where \(C\), resp. \(S\) are the Weyl and Ricci tensors.
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