Torus fibration and \(n\)-forms of Liouville type in dimension \(2n\) (Q2778345)
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scientific article; zbMATH DE number 1719875
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Torus fibration and \(n\)-forms of Liouville type in dimension \(2n\) |
scientific article; zbMATH DE number 1719875 |
Statements
16 February 2003
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\(n\)-forms of Liouville type
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torus fibration
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Torus fibration and \(n\)-forms of Liouville type in dimension \(2n\) (English)
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An analogue of the Arnold-Liouville theorem is given for \(n\) forms \(\omega\) in dimension \(2n\) whose local model is \(\omega= \sum^n_{j=1} dy_j\wedge dx_1\wedge \dots\wedge dx_j\wedge \dots\wedge dx_n\). A global result is obtained and an example is given at the end.
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