论文标题
关于奇异黎曼叶叶的拓扑
On the topology of leaves of singular Riemannian foliations
论文作者
论文摘要
在本文中，我们建立了许多有关封闭的单数riemannian叶片$（m，\ fol）$的叶片拓扑的结果。如果简单地连接了$ m $，我们证明叶子被尼尔植物空间有限地覆盖，并表征了通用叶子的基本组。如果$ m $实际上具有nilpotent基本组，我们证明叶子实际上也具有nilpotent的基本组。
In this paper, we establish a number of results about the topology of the leaves of a closed singular Riemannian foliation $(M,\fol)$. If $M$ is simply connected, we prove that the leaves are finitely covered by nilpotent spaces, and characterize the fundamental group of the generic leaves. If $M$ has virtually nilpotent fundamental group, we prove that the leaves have virtually nilpotent fundamental group as well.
