The geometry of -covered foliations.

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.

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.

Displaying similar documents to “The geometry of R -covered foliations.”

Displaying similar documents to “The geometry of $R$ -covered foliations.”