[Feuilletages minimaux de codimension un dont les feuilles ont les groupes fondamentaux des feuilles à la même croissance polynomiale]
Soit une feuilletage minimal de codimension un sur une variété M et . Supposons que nʼa pas de cycles évanouissants. On démontre que le feuilletage est sans holonomie si le groupe fondamental de toute la feuille de est à croissance polynomiale de degré k.
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.
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@article{CRMATH_2012__350_5-6_285_0, author = {Yokoyama, Tomoo}, title = {Codimension one minimal foliations whose leaves have fundamental groups with the same polynomial growth}, journal = {Comptes Rendus. Math\'ematique}, pages = {285--287}, publisher = {Elsevier}, volume = {350}, number = {5-6}, year = {2012}, doi = {10.1016/j.crma.2012.03.008}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2012.03.008/} }
TY - JOUR AU - Yokoyama, Tomoo TI - Codimension one minimal foliations whose leaves have fundamental groups with the same polynomial growth JO - Comptes Rendus. Mathématique PY - 2012 SP - 285 EP - 287 VL - 350 IS - 5-6 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2012.03.008/ DO - 10.1016/j.crma.2012.03.008 LA - en ID - CRMATH_2012__350_5-6_285_0 ER -
%0 Journal Article %A Yokoyama, Tomoo %T Codimension one minimal foliations whose leaves have fundamental groups with the same polynomial growth %J Comptes Rendus. Mathématique %D 2012 %P 285-287 %V 350 %N 5-6 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2012.03.008/ %R 10.1016/j.crma.2012.03.008 %G en %F CRMATH_2012__350_5-6_285_0
Yokoyama, Tomoo. Codimension one minimal foliations whose leaves have fundamental groups with the same polynomial growth. Comptes Rendus. Mathématique, Tome 350 (2012) no. 5-6, pp. 285-287. doi : 10.1016/j.crma.2012.03.008. http://archive.numdam.org/articles/10.1016/j.crma.2012.03.008/
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