On some involution theorems on twofold Poisson manifolds (Q1107188)
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scientific article; zbMATH DE number 4064108
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some involution theorems on twofold Poisson manifolds |
scientific article; zbMATH DE number 4064108 |
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On some involution theorems on twofold Poisson manifolds (English)
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1988
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The author points out some involution theorems which are consequences of the existence of two compatible Poisson structures on a smooth manifold. Also using a theorem of Lichnerowicz on local triviality of the Schouten- Nijenhuis cohomology, he shows that the local exactness of a second Poisson structure with respect to the first one is equivalent with the involutivity of the algebra of smooth invariant functions of the first Poisson structure.
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twofold Poisson manifold
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integrability
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involution theorems
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Poisson structures
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Schouten-Nijenhuis cohomology
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