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Feuilletages orientés des surfaces : le problème de la section globale

Claude Danthony (1988)

Annales de l'institut Fourier

Nous nous intéressons aux propriétés transverses des feuilletages orientés des surfaces. En particulier, nous donnons des conditions équivalentes à l’existence d’une section globale, en étudiant les formes fermées transverses à l’aide de réseaux ferroviaires.

Five-dimensional biquotients.

Pavlov, A.V. (2004)

Sibirskij Matematicheskij Zhurnal

Fixed points of discrete nilpotent group actions on $S^{2}$

Suely Druck, Fuquan Fang, Sebastião Firmo (2002)

Annales de l’institut Fourier

We prove that for each integer $k \geq 2$ there is an open neighborhood $𝒱_{k}$ of the identity map of the 2-sphere $S^{2}$ , in $C^{1}$ topology such that: if $G$ is a nilpotent subgroup of ${Diff}^{1} (S^{2})$ with length $k$ of nilpotency, generated by elements in $𝒱_{k}$ , then the natural $G$ -action on $S^{2}$ has nonempty fixed point set. Moreover, the $G$ -action has at least two fixed points if the action has a finite nontrivial orbit.

Flag Structures on Seifert Manifolds.

Barbot, Thierry (2001)

Geometry & Topology

Free subgroups of diffeomorphism groups

Janusz Grabowski (1988)

Fundamenta Mathematicae