Codimension one minimal foliations whose leaves have fundamental groups with the same polynomial growth (Q412596)

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scientific article; zbMATH DE number 6030552
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Codimension one minimal foliations whose leaves have fundamental groups with the same polynomial growth
scientific article; zbMATH DE number 6030552

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    Codimension one minimal foliations whose leaves have fundamental groups with the same polynomial growth (English)
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    4 May 2012
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    The author provides a sufficient condition for a transversally orientable codimension one minimal foliation without vanishing cycles to be without holonomy, precisely, if the fundamental group of each leaf of it has the same polynomial growth of a degree \(k\in \mathbb{N}\). He underlines that the minimality condition is necessary by giving an example of a foliation satisfying all the other conditions except this one and which has non trivial holonomy.
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    minimal foliation
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    holonomy
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