Regular projectively Anosov flows with compact leaves.
type: Item
instance of: scholarly article
title: Regular projectively Anosov flows with compact leaves.
zbMATH Open document ID: 1058.57021
author: Takeo Noda
publication date: 2004-12-20T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/116119
review text: The author gives a classification of regular projectively Anosov flows on a Seifert manifold in the case when the stable or unstable foliation of the flow contains a compact leaf. This result is a generalization of the earlier result by the author [Ann. Inst. Fourier 50, No. 5, 1617--1647 (2000; Zbl 1023.37014)] concerning \(T^2\)-bundles over \(S^1\). On the other hand it completes the classification on Seifert manifolds which was given by T. Tsuboi (preprint) in the case when the foliations of the flow do not contain compact leaves.
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 37D30
Mathematics Subject Classification ID: 53C12
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 2123575
zbMATH Keywords: Anosov foliation
zbMATH Keywords: regular projectively Anosov flow
zbMATH Keywords: stable foliation
zbMATH Keywords: compact leaf
zbMATH Keywords: Seifert manifold
zbMATH Keywords: bi-contact structure
reviewed by: Andrzej Piatkowski
MaRDI profile type: Publication
OpenAlex ID: W162418023
cites work: Classification of regular and non-degenerate projectively Anosov flows on three-dimensional manifolds
cites work: Flots d'Anosov sur les variétés graphées au sens de Waldhausen. (Anosov flows on graph manifolds in the sense of Waldhausen.)
cites work: Essential laminations in Seifert-fibered spaces
cites work: Essential laminations in Seifert-fibered spaces: Boundary behavior
cites work: Transverse foliations of Seifert bundles and self homeomorphism of the circle
cites work: Q4375270
cites work: Anosov flows in 3-manifolds
cites work: Deformations of Anosov flows and of Fuchsian groups
cites work: Differentiable rigidity of Fuchsian groups
cites work: Essential laminations in 3-manifolds
cites work: All compact orientable three dimensional manifolds admit total foliations
cites work: Q3871581
cites work: Feuilletages des variétés de dimension 3 qui sont des fibres en cercles
cites work: Q3788749
cites work: Anosov flows and non-Stein symplectic manifolds
cites work: Q3147740
cites work: Rélations de conjugaison et de cobordisme entre certains feuilletages
cites work: Projectively Anosov flows with differentiable (un)stable foliations
cites work: Q3147758
cites work: Q5660299
cites work: Seifert manifolds
cites work: The Geometries of 3-Manifolds
cites work: A Generalization of a Poincare-Bendixson Theorem to Closed Two-Dimensional Manifolds
cites work: Q4003297
cites work: Regular projectively Anosov flows on the Seifert fibered 3-manifolds
DOI: 10.5802/AIF.2026
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 2123575