论文标题
非较小的横向均匀叶子
Non-unimodular transversely homogeneous foliations
论文作者
论文摘要
我们通过计算其基础样的共同体学，为在紧凑型歧管上定义的横向同质叶片的拉紧提供了足够的条件。作为一种应用，我们证明，如果叶面不占据，则环境歧管，叶子的闭合或相关的主束纤维超过$ s^1 $的总空间。
We give sufficient conditions for the tautness of a transversely homogenous foliation defined on a compact manifold, by computing its base-like cohomology. As an application, we prove that if the foliation is non-unimodular then either the ambient manifold, the closure of the leaves or the total space of an associated principal bundle fiber over $S^1$.
