Compact leaves of the foliation defined by the kernel of a <i>T</i><sup>2</sup>-invariant presymplectic form

We investigate the foliation defined by kernel of an exact presymplectic form dα rank 2n on a (2n + r)-dimensional closed manifold M. For r = 2, we prove that has at least two leaves which are homeomorphic to 2-dimensional torus, if M admits locally free T2-action preserves and satisfies function α(Z2) is constant, where Z1, Z2 infinitesimal generators T2-action. also give its generalization for ≥1.