Parallelism in \(K\)-contact geometry (Q1928609)
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scientific article; zbMATH DE number 6121643
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parallelism in \(K\)-contact geometry |
scientific article; zbMATH DE number 6121643 |
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Parallelism in \(K\)-contact geometry (English)
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3 January 2013
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It is proved that on a \(K\)-contact manifold \(M\), there are no non-zero parallel differential \(p\)-forms for \(1\leqslant p\leqslant 2n\), where \(\dim M=2n+1\). This is a generalization of a result by \textit{D.\ E.\ Blair} and \textit{S.\ I.\ Goldberg} stating that compact Sasakian manifolds do not admit such forms [J. Differ. Geom. 1, 347--354 (1967; Zbl 0163.43902)].
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parallel form
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\(K\)-contact
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Sasakian
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