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

Authors :
Yokoyama, Tomoo
Source :
Comptes Rendus. Mathématique. Mar2012, Vol. 350 Issue 5/6, p285-287. 3p.
Publication Year :
2012

Abstract

Abstract: Let be a transversely orientable codimension one minimal foliation without vanishing cycles of a manifold M and . We show that if the fundamental group of each leaf of has polynomial growth of degree k, then the foliation is without holonomy. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
1631073X
Volume :
350
Issue :
5/6
Database :
Academic Search Index
Journal :
Comptes Rendus. Mathématique
Publication Type :
Academic Journal
Accession number :
74096612
Full Text :
https://doi.org/10.1016/j.crma.2012.03.008