Manifolds which admit $\mathbf {R}^n$ actions

Gilles Chatelet; Harold Rosenberg

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

Gilles Chatelet, Harold Rosenberg, Daniel Weil (1974)

Publications Mathématiques de l'IHÉS

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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

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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

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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 $ℝ^{2}$ .

Bifurcations and global stability of families of gradients

M. J. Dias Carneiro, Jacob Palis (1989)

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

Elmar Vogt (1989)

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Regular projectively Anosov flows with compact leaves

Takeo Noda (2004)

Annales de l’institut Fourier

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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...

$R$ -covered foliations of hyperbolic 3-manifolds.

Calegari, Danny (1999)

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A counterexample to the periodic orbit conjecture

Dennis Sullivan (1976)

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Displaying similar documents to “Manifolds which admit 𝐑 n actions”

Displaying similar documents to “Manifolds which admit $𝐑^{n}$ actions”