余维四紧黎曼叶理的基本上同调的直接和

arXiv: Differential Geometry Pub Date : 2020-01-08 DOI:10.4134/BKMS.B200022

Jiuru Zhou

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摘要

根据完整不变横切几乎复结构J，讨论了余维四张紧黎曼叶理的二阶基本上同调的分解，并证明了J是C纯满的。此外，我们还得到了基本j -反不变子群维数的估计。这些是T. Draghici等人相应结果的叶状版本。

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Direct sum for basic cohomology of codimension four taut Riemannian foliation

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.

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arXiv: Differential Geometry

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