On pairs of regular foliations in \({\mathbb{R}^3}\) and singularities of map-germs
type: Item
instance of: scholarly article
title: On pairs of regular foliations in \({\mathbb{R}^3}\) and singularities of map-germs
zbMATH Open document ID: 1158.58019
author: B. E. Eshmatov
published in: Geometriae Dedicata
publication date: 2008-07-30T00:00:00Z
review text: The authors study germs at the origin of pairs of codimension one regular foliations in the 3-dimensional Euclidean space. The smooth classification is treated and it is related to the classification of certain divergent diagrams. The paper is organized as follows. In Section 2, some preliminaries and concepts from singularity theory are given. In Section 3, the classification of regular foliations up to formal equivalence is studied, and in Section 4, a complete topological classification is given. Section 5 deals with various classifications of the singularities of the discriminant. Other papers of the authors connected to this subject are [\textit{R. D. S. Oliveira} and \textit{F. Tari}, Hokkaido Math. J. 31, No.~3, 523--537 (2002; Zbl 1036.34045) and \textit{F. Tari}, Discrete Contin. Dyn. Syst. 13, No.~1, 139--162 (2005; Zbl 1081.34007)].
reviewed by: Dorin Andrica
Mathematics Subject Classification ID: 58K40
Mathematics Subject Classification ID: 53C12
Mathematics Subject Classification ID: 58A10
zbMATH DE Number: 5306125
zbMATH Keywords: foliations
zbMATH Keywords: 1-forms
zbMATH Keywords: topological equivalence
zbMATH Keywords: singularities
MaRDI profile type: Publication
full work available at URL: s10711-008-9265-x
OpenAlex ID: W2108721885
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DOI: 10.1007/S10711-008-9265-X
description: scientific article; zbMATH DE number 5306125