Constancy of maps into \(f\)-manifolds and pseudo \(f\)-manifolds (Q880218)
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scientific article; zbMATH DE number 5152733
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constancy of maps into \(f\)-manifolds and pseudo \(f\)-manifolds |
scientific article; zbMATH DE number 5152733 |
Statements
Constancy of maps into \(f\)-manifolds and pseudo \(f\)-manifolds (English)
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14 May 2007
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An \(f\)-manifold is some generalization of complex manifolds, where the complex structure \(J\) is replaced by a \((1,1)\)-tensor field \(f\) which is not necessarily of full rank but still fulfills \(f^3+f=0\), or \(f^3-f=0\) for pseudo \(f\)-manifolds. They first appeared in [\textit{K. Matsumoto}, Bull. Yamagata Univ., Nat. Sci. 9, No. 1, 33--46 (1976)]. Constancy of some maps into certain \(f\)-manifolds and pseudo \(f\)-manifolds is discussed in the current paper. The results generalize previous ones.
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holomorphic maps
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\(f\)-manifolds
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pseudo \(f\)-manifolds
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