Almost isometric singular foliations
type: Item
instance of: scholarly article
title: Almost isometric singular foliations
zbMATH Open document ID: 0917.57023
DOI: 10.1016/S0019-3577(97)87564-7
published in: Indagationes Mathematicae. New Series
publication date: 1999-02-17T00:00:00Z
review text: Almost isometric singular foliations have been introduced by \textit{P. Molino} [Sémin. Gaston Darboux Géom. Topologie Différ. 1989-1990, No. 7, 57-68 (1991; Zbl 0734.57019)]. In this paper, the author recalls the construction of the so-called ``horizontal structural Lie algebra'' for such a foliation and proves that such Lie algebra is finite-dimensional in the particular case of foliations of codimension 1 or 2. Moreover, a classification of such foliations on 4-dimensional compact manifolds is given.
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 53C12
zbMATH DE Number: 1251248
zbMATH Keywords: horizontal structural Lie algebra
zbMATH Keywords: foliations on 4-dimensional compact manifolds
author: El Hadji Cheikh Mbacké Diop
reviewed by: Luis A. Cordero
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1251248