Symplectic structures on \(T^ 2\)-bundles over \(T^ 2\) (Q1196420)
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scientific article; zbMATH DE number 78570
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symplectic structures on \(T^ 2\)-bundles over \(T^ 2\) |
scientific article; zbMATH DE number 78570 |
Statements
Symplectic structures on \(T^ 2\)-bundles over \(T^ 2\) (English)
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14 December 1992
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Let \(T^ 2\) be the 2-dimensional torus and let \(M\) be a smooth, orientable \(T^ 2\)-bundle over \(T^ 2\). The main result of this paper is that every cohomology class in \(H^ 2(M;\mathbb{R})\) with nonzero square can be realized by a symplectic form.
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cohomology class
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symplectic form
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