Complete lift of a structure satisfying \(f^ k-(-1)^{k+1}f=0\) (Q1205623)
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scientific article; zbMATH DE number 147589
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete lift of a structure satisfying \(f^ k-(-1)^{k+1}f=0\) |
scientific article; zbMATH DE number 147589 |
Statements
Complete lift of a structure satisfying \(f^ k-(-1)^{k+1}f=0\) (English)
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1 April 1993
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Let \(M\) be a \(C^ \infty\) manifold equipped with a tensor field \(f\) of type (1,1) satisfying \(f^ k-(-1)^{k+1}f = 0\) and \(f^ r-(- 1)^{r+1}f\neq 0\) for \(1<r<k\). The author obtains integrability conditions of this structure in the tangent bundle of \(M\).
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\(f\)-structure
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