A note on codimension-1 foliations
type: Item
instance of: scholarly article
title: A note on codimension-1 foliations
zbMATH Open document ID: 0932.53024
author: Carlo Petronio
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1999-08-02T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108480
review text: Let \({\mathcal F}\) be a cooriented codimension-1 foliation of a manifold \(M\) and \(\gamma\) a simple closed curve tangent to \({\mathcal F}\). Let \(h\) be the holonomy of \(\gamma\). The author constructs a parametrization of a neighborhood of \(\gamma\) in which \({\mathcal F}\) is defined by a differential 1-form \(\omega\) whose coefficients satisfy conditions closely related to the properties of \(h\).
Mathematics Subject Classification ID: 53C12
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 53C29
zbMATH DE Number: 1319598
zbMATH Keywords: codimension-1 foliation
zbMATH Keywords: holonomy
reviewed by: Andrzej Piatkowski
MaRDI profile type: Publication
cites work: Q4375270
cites work: Introduction to the Geometry of Foliations, Part A
cites work: A theorem of Eliashberg and Thurston on foliations and contact structures
description: scientific article; zbMATH DE number 1319598