论文标题
编码基本共同学的直接总和四个拉紧的riemannian叶叶
Direct sum for basic cohomology of codimension four taut Riemannian foliation
论文作者
论文摘要
我们讨论了两个基本的共同学的分解,以编成四个绷紧的riemannian叶片,该分解是根据圆形不变的横向几乎复杂的结构J的分解,并表明J是纯净而充实的。此外,我们获得了基本J-Anti不变亚组的维度的估计。这些是T. Draghici等人相应结果的叶面版本。
We discuss the decomposition of degree two basic cohomology for codimension four taut Riemannian foliation according to the holonomy invariant transversal almost complex structure J, and show that J is C pure and full. In addition, we obtain an estimate of the dimension of basic J-anti-invariant subgroup. These are the foliated version for the corresponding results of T. Draghici et al.