Symplectic structures on \(T^ 2\)-bundles over \(T^ 2\)
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.
scientific article; zbMATH DE number 78570