L-2-hard Lefschetz complete symplectic manifolds
L-2-hard Lefschetz complete symplectic manifolds
复制标题
L-2-硬 Lefschetz 完全辛流形
DOI：
10.1007/s10231-020-01004-2
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发表时间：
2021
影响因子：
1
通讯作者：
Tan Qiang
中科院分区：
文献类型：
--
作者：
Huang Teng;Tan Qiang
对完备辛流形定义了-硬Lefschetz性质，并证明了完备辛流形满足-硬Lefschetz性质当且仅当每类-调和形式都包含辛调和形式.作为应用，我们得到了如果是一个闭辛抛物流形满足硬Lefschetz性质，则它的Euler特征线满足不等式。
For a complete symplectic manifold, we define the-hard Lefschetz property on. We also prove that the complete symplectic manifoldsatisfies-hard Lefschetz property if and only if every class of-harmonic forms contains asymplectic harmonic form. As an application, we get ifis a closed symplectic parabolic manifold which satisfies the hard Lefschetz property, then its Euler characteristic satisfies the inequality.