On the Godbillon-Vey invariant and global holonomy of -foliations.

Chihi, Slaheddine; ben Ramdane, Souad

Displaying similar documents to “On the Godbillon-Vey invariant and global holonomy of $ℝ P^{1}$ -foliations.”

Codimension one minimal foliations and the fundamental groups of leaves

Tomoo Yokoyama, Takashi Tsuboi (2008)

Annales de l’institut Fourier

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Let $ℱ$ be a transversely orientable transversely real-analytic codimension one minimal foliation of a paracompact manifold $M$ . We show that if the fundamental group of each leaf of $ℱ$ is isomorphic to $Z$ , then $ℱ$ is without holonomy. We also show that if $π_{2} (M) ≅ 0$ and the fundamental group of each leaf of $ℱ$ is isomorphic to $Z^{k}$ ( $k \in Z_{\geq 0}$ ), then $ℱ$ is without holonomy.

Foliations with Degenerate Gauss maps on $ℙ^{4}$

Thiago Fassarella (2010)

Annales de l’institut Fourier

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We obtain a classification of codimension one holomorphic foliations on $ℙ^{4}$ with degenerate Gauss maps.

The diffeomorphism group of a Lie foliation

Gilbert Hector, Enrique Macías-Virgós, Antonio Sotelo-Armesto (2011)

Annales de l’institut Fourier

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We describe explicitly the group of transverse diffeomorphisms of several types of minimal linear foliations on the torus $T^{n}$ , $n \geq 2$ . We show in particular that non-quadratic foliations are rigid, in the sense that their only transverse diffeomorphisms are $\pm Id$ and translations. The description derives from a general formula valid for the group of transverse diffeomorphisms of any minimal Lie foliation on a compact manifold. Our results generalize those of P. Donato and P. Iglesias for $T^{2}$ , P. Iglesias...

Leaves of foliations with a transverse geometric structure of finite type.

Robert A. Wolak (1989)

Publicacions Matemàtiques

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In this short note we find some conditions which ensure that a G foliation of finite type with all leaves compact is a Riemannian foliation of equivalently the space of leaves of such a foliation is a Satake manifold. A particular attention is paid to transversaly affine foliations. We present several conditions which ensure completeness of such foliations.

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

Elmar Vogt (1989)

Publications Mathématiques de l'IHÉS

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Displaying similar documents to “On the Godbillon-Vey invariant and global holonomy of ℝ P 1 -foliations.”

Codimension one minimal foliations and the fundamental groups of leaves

Foliations with Degenerate Gauss maps on ℙ 4

The diffeomorphism group of a Lie foliation

Leaves of foliations with a transverse geometric structure of finite type.

Some properties of foliations

Foliations with few non-compact leaves.

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

Displaying similar documents to “On the Godbillon-Vey invariant and global holonomy of $ℝ P^{1}$ -foliations.”

Foliations with Degenerate Gauss maps on $ℙ^{4}$

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