Stably solitary foliations
type: Item
instance of: scholarly article
title: Stably solitary foliations
zbMATH Open document ID: 0582.57013
author: Atsushi Sato
published in: Hokkaido Mathematical Journal
publication date: 1985-01-01T00:00:00Z
review text: A \(C^ 2\) foliation F of a closed 3-manifold M by surfaces is said to be solitary if it admits transverse 2-plane fields, but no such field is integrable. If this property holds in a neighborhood of F in \(Fol^ 2(M)\), then F is stably solitary. The main theorem of this paper is that every closed, oriented 3-manifold admits a stably solitary foliation.
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 57N10
zbMATH DE Number: 3932023
zbMATH Keywords: foliation of closed 3-manifold by surfaces
zbMATH Keywords: stably solitary foliation
reviewed by: Lawrence Conlon
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1381757657
OpenAlex ID: W2087015378
DOI: 10.14492/HOKMJ/1381757657
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description: scientific article; zbMATH DE number 3932023