A 4-dimensional Jacobi manifold with nonsingular and nonsemiclosed 2-form (Q2747408)
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scientific article; zbMATH DE number 1657694
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A 4-dimensional Jacobi manifold with nonsingular and nonsemiclosed 2-form |
scientific article; zbMATH DE number 1657694 |
Statements
14 October 2001
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Jacobi manifold
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semiclosed 2-form
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four-dimensional manifold
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A 4-dimensional Jacobi manifold with nonsingular and nonsemiclosed 2-form (English)
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On a differential manifold \(M\), a 2-form \(\Omega\) is said to be semiclosed with respect to a 1-form \(\omega\), if \(a\Omega+\omega \wedge \Omega=0\). \textit{F. Fujiwara}, \textit{T. Sakurai} and \textit{F. Mimura} [Tensor, New Ser. 60, 195-201 (1998)] established a complete class of nonsingular 2-forms on a four-dimensional differentiable manifold, in which a subclass of nonsemiclosed 2-forms appeared. The paper under review is devoted to finding the Jacobi structure associated with the 2-forms in this subclass.
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