论文标题
由$ t^2 $ invariant Preymplectic形式的核定义的叶子的紧凑叶子
Compact leaves of the foliation defined by the kernel of a $T^2$-invariant presymplectic form
论文作者
论文摘要
我们调查由A（2n + r）差的封闭式封闭式封闭式歧管M的确切的预成式形式的$dα$定义的叶片。对于r = 2，我们证明，叶片至少有两个叶子，如果p and t^$dα$dα$dα$ d Andipies and p.2 $ d），这是同源的。是恒定的，其中$ z_1 $，$ z_2 $是$ t^2 $ -ACTION的无限发电机。我们还以r $ \ geq $ 1进行概括。
We investigate the foliation defined by the kernel of an exact presymplectic form $dα$ of rank 2n on a (2n + r)-dimensional closed manifold M. For r = 2, we prove that the foliation has at least two leaves which are homeomorphic to a 2-dimensional torus, if M admits a locally free $T^2$-action which preserves $dα$ and satisfies that the function $α(Z_2)$ is constant, where $Z_1$, $Z_2$ are the infinitesimal generators of the $T^2$-action. We also give its generalization for r $\geq$ 1.
