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

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

2011-04-08

arxiv.org/abs/1104.1515v1

Mathematics

Geometric Topology

Scientific paper

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.

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