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

Jose Luis Arraut; Marcos Craizer

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

Elmar Vogt (1989)

Publications Mathématiques de l'IHÉS

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On transverse foliations

Atsushi Sato, Itiro Tamura (1981)

Publications Mathématiques de l'IHÉS

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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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Some properties of foliations

Richard Sacksteder (1964)

Annales de l'institut Fourier

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Foliations with few non-compact leaves.

Vogt, Elmar (2002)

Algebraic & Geometric Topology

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Smoothability of proper foliations

John Cantwell, Lawrence Conlon (1988)

Annales de l'institut Fourier

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Compact, $C^{2}$ -foliated manifolds of codimension one, having all leaves proper, are shown to be $C^{\infty}$ -smoothable. More precisely, such a foliated manifold is homeomorphic to one of class $C^{\infty}$ . The corresponding statement is false for foliations with nonproper leaves. In that case, there are topological distinctions between smoothness of class $C^{r}$ and of class $C^{r + 1}$ for every nonnegative integer $r$ .

A note on codimension-1 foliations

Carlo Petronio (1999)

Rendiconti del Seminario Matematico della Università di Padova

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Tischler fibrations of open foliated sets

John Cantwell, Lawrence Conlon (1981)

Annales de l'institut Fourier

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Let $M$ be a closed, foliated manifold, and let $U$ be an open, connected, saturated subset that is a union of locally dense leaves without holonomy. Supplementary conditions are given under which $U$ admits an approximating (Tischler) fibration over $S^{1}$ . If the fibration exists, conditions under which the original leaves are regular coverings of the fibers are studied also. Examples are given to show that our supplementary conditions are generally required.

Displaying similar documents to “Foliations of M 3 defined by ℝ 2 -actions”

Displaying similar documents to “Foliations of $M^{3}$ defined by $ℝ^{2}$ -actions”