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Codimension one minimal foliations whose leaves have fundamental groups with the same polynomial growth

Abstract

Let $\mathcal{F}$ be a transversely orientable codimension one minimal foliation without vanishing cycles of a manifold $M$. We show that if the fundamental group of each leaf of $\mathcal{F}$ has polynomial growth of degree $k$ for some non-negative integer $k$, then the foliation $\mathcal{F}$ is without holonomy

Topics: Mathematics - Geometric Topology, 57R30 (Primary), 53C12 (Secondary)
Year: 2014
OAI identifier: oai:arXiv.org:1104.1515
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