A generalization of the Poincaré-Bendixson theorem for compact 3-manifolds
type: Item
instance of: scholarly article
title: A generalization of the Poincaré-Bendixson theorem for compact 3-manifolds
zbMATH Open document ID: 1066.57031
author: Charalampos Charitos
published in: Geometriae Dedicata
publication date: 2005-05-04T00:00:00Z
review text: The generalization of the title is to compressible cylindrical ends in compact foliated 3-manifolds. The author shows that such ends spiral onto toral leaves. The work strengthens his earlier theorem which had stronger hypotheses [\textit{C. Charitos}, J. Aust. Math. Soc., Ser. A 63, 208--217 (1997; Zbl 0894.57022)].
reviewed by: Lee P. Neuwirth
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 57M99
zbMATH DE Number: 2165497
zbMATH Keywords: foliation
zbMATH Keywords: 3-manifold
zbMATH Keywords: cylindrical end
zbMATH Keywords: compressible end
zbMATH Keywords: toral leaf
MaRDI profile type: Publication
full work available at URL: s10711-004-1529-5
OpenAlex ID: W2044475274
cites work: Poincare-Bendixson Theory for Leaves of Codimension One
cites work: Leaves with isolated ends in foliated 3-manifolds
cites work: Q4380502
cites work: ISOLATED ENDS OF OPEN LEAVES OF CODIMENSION-ONE FOLIATIONS
cites work: A generalization of the Poincaré-Bendixson theorem for foliations of codimension one
cites work: Some remarks on stability of foliations
DOI: 10.1007/S10711-004-1529-5
description: scientific article; zbMATH DE number 2165497