A classification of the topological types of $\mathbf {R}^2$-actions on closed orientable 3-manifolds

Gilles Chatelet; Harold Rosenberg; Daniel Weil

Displaying similar documents to “A classification of the topological types of $𝐑^{2}$ -actions on closed orientable 3-manifolds”

Manifolds which admit $𝐑^{n}$ actions

Gilles Chatelet, Harold Rosenberg (1974)

Publications Mathématiques de l'IHÉS

Similarity:

Orbit Structure of certain $ℝ^{2}$ -actions on solid torus

C. Maquera, L. F. Martins (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

Similarity:

In this paper we describe the orbit structure of $C^{2}$ -actions of $ℝ^{2}$ on the solid torus $S^{1} \times D^{2}$ having $S^{1} \times {0}$ and $S^{1} \times \partial D^{2}$ as the only compact orbits, and $S^{1} \times {0}$ as singular set.

Foliations of $M^{3}$ defined by $ℝ^{2}$ -actions

Jose Luis Arraut, Marcos Craizer (1995)

Annales de l'institut Fourier

Similarity:

In this paper we give a geometric characterization of the 2-dimensional foliations on compact orientable 3-manifolds defined by a locally free smooth action of $ℝ^{2}$ .

A foliation of $𝐑^{3}$ and other punctured 3-manifolds by circles

Elmar Vogt (1989)

Publications Mathématiques de l'IHÉS

Similarity:

Regular projectively Anosov flows with compact leaves

Takeo Noda (2004)

Annales de l’institut Fourier

Similarity:

This paper concerns projectively Anosov flows $φ^{t}$ with smooth stable and unstable foliations $ℱ^{s}$ and $ℱ^{u}$ on a Seifert manifold $M$ . We show that if the foliation $ℱ^{s}$ or $ℱ^{u}$ contains a compact leaf, then the flow $φ^{t}$ is decomposed into a finite union of models which are defined on $T^{2} \times I$ and bounded by compact leaves, and therefore the manifold $M$ is homeomorphic to the 3-torus. In the proof, we also obtain a theorem which classifies codimension one foliations on Seifert manifolds with compact leaves which...

Projectively Anosov flows with differentiable (un)stable foliations

Takeo Noda (2000)

Annales de l'institut Fourier

Similarity:

We consider projectively Anosov flows with differentiable stable and unstable foliations. We characterize the flows on $T^{2}$ which can be extended on a neighbourhood of $T^{2}$ into a projectively Anosov flow so that $T^{2}$ is a compact leaf of the stable foliation. Furthermore, to realize this extension on an arbitrary closed 3-manifold, the topology of this manifold plays an essential role. Thus, we give the classification of projectively Anosov flows on $T^{3}$ . In this case, the only flows on $T^{2}$ which...

On transverse foliations

Atsushi Sato, Itiro Tamura (1981)

Publications Mathématiques de l'IHÉS

Similarity:

Displaying similar documents to “A classification of the topological types of 𝐑 2 -actions on closed orientable 3-manifolds”

Manifolds which admit 𝐑 n actions

Orbit Structure of certain ℝ 2 -actions on solid torus

Foliations of M 3 defined by ℝ 2 -actions

A foliation of 𝐑 3 and other punctured 3-manifolds by circles

Regular projectively Anosov flows with compact leaves

Projectively Anosov flows with differentiable (un)stable foliations

On transverse foliations

Displaying similar documents to “A classification of the topological types of $𝐑^{2}$ -actions on closed orientable 3-manifolds”

Manifolds which admit $𝐑^{n}$ actions

Orbit Structure of certain $ℝ^{2}$ -actions on solid torus

Foliations of $M^{3}$ defined by $ℝ^{2}$ -actions

A foliation of $𝐑^{3}$ and other punctured 3-manifolds by circles