The *-holonomy group of the Stefan suspension of a diffeomorphism

Andrzej Piątkowski

Displaying similar documents to “The *-holonomy group of the Stefan suspension of a diffeomorphism”

Smoothability of proper foliations

John Cantwell, Lawrence Conlon (1988)

Annales de l'institut Fourier

Similarity:

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

Similarity:

Tischler fibrations of open foliated sets

John Cantwell, Lawrence Conlon (1981)

Annales de l'institut Fourier

Similarity:

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.

Foliations with all leaves compact

D. B. A. Epstein (1976)

Annales de l'institut Fourier

Similarity:

The notion of the “volume" of a leaf in a foliated space is defined. If $L$ is a compact leaf, then any leaf entering a small neighbourhood of $L$ either has a very large volume, or a volume which is approximatively an integral multiple of the volume of $L$ . If all leaves are compact there are three related objects to study. Firstly the topology of the quotient space obtained by identifying each leaf to a point ; secondly the holonomy of a leaf ; and thirdly whether the leaves have a locally...

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

Elmar Vogt (1989)

Publications Mathématiques de l'IHÉS

Similarity:

Foliations with few non-compact leaves.

Vogt, Elmar (2002)

Algebraic & Geometric Topology

Similarity:

Taut foliations of 3-manifolds and suspensions of $S^{1}$

David Gabai (1992)

Annales de l'institut Fourier

Similarity:

Let $M$ be a compact oriented 3-manifold whose boundary contains a single torus $P$ and let $ℱ$ be a taut foliation on $M$ whose restriction to $\partial M$ has a Reeb component. The main technical result of the paper, asserts that if $N$ is obtained by Dehn filling $P$ along any curve not parallel to the Reeb component, then $N$ has a taut foliation.

Limit sets of foliations

Richard Sacksteder, Art J. Schwartz (1965)

Annales de l'institut Fourier

Similarity:

Soit $V$ une variété munie d’une structure feuilletée de co-dimension un. On démontre plusieurs théorème relatifs à des conditions entraînant que le groupe d’holonomie et le pseudo-groupe d’holonomie d’une certaine feuille $F \subset V$ est infini.