Théorèmes de slice et holonomie des feuilletages riemanniens singuliers. (Slice theorems and holonomy of singular Riemannian foliations)
type: Item
instance of: scholarly article
title: Théorèmes de slice et holonomie des feuilletages riemanniens singuliers. (Slice theorems and holonomy of singular Riemannian foliations)
zbMATH Open document ID: 0625.57016
author: M. Pierrot
author: Pierre Molino
publication date: 1987-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74776
review text: Soit (M,\({\mathcal F})\) un feuilletage riemannien sur une variété compacte; \(\bar {\mathcal F}\) est le feuilletage singulier défini par les adhérences des feuilles, (\=F,\({\mathcal F})\) le feuilletage induit sur une adhérence générique. On étudie le cas où (\=F,\({\mathcal F})\) n'a pas de champ transverse non trivial. Alors l'espace quotient \(W=M/\bar {\mathcal F}^ a \)une structure naturelle de variété de Sataké, de manière que la projection \(M\to W\) soit un morphisme de variétés de Sataké avec pliage autour des adhérences singulières.
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 53C12
zbMATH DE Number: 4015729
zbMATH Keywords: Riemannian foliation
zbMATH Keywords: Satake variety
zbMATH Keywords: closure of leaves
zbMATH Keywords: transverse fields
zbMATH Keywords: space of leaves
MaRDI profile type: Publication
OpenAlex ID: W2077893121
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DOI: 10.5802/AIF.1118
published in: Annales de l’institut Fourier
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description: scientific article; zbMATH DE number 4015729