On the topology of leaves of singular Riemannian foliations
On the topology of leaves of singular Riemannian foliations
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DOI：
10.4171/rmi/1435
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发表时间：
2022-03
期刊：
影响因子：
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通讯作者：
M. Radeschi;E. K. Samani
中科院分区：
文献类型：
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作者：
M. Radeschi;E. K. Samani
在本文中，我们建立了关于闭奇异黎曼叶簇$(M，\fol)$的叶拓扑的一些结果。如果$M$是单连通的，我们证明了叶被幂零空间有限覆盖，并刻画了泛叶的基本群。如果$M$有几乎幂零的基本群，我们证明了叶也有几乎幂零的基本群。
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.