Some analogies between number theory and dynamical systems on foliated spaces.
Some characteristic invariants of foliated bundles [Book]
Some examples of essential laminations in 3-manifolds
Families of codimension-one foliations and laminations are constructed in certain 3-manifolds, with the property that their transverse intersection with the boundary torus of the manifold consists of parallel curves whose slope varies continuously with certain parameters in the construction. The 3-manifolds are 2-bridge knot complements and punctured-torus bundles.
Some lagrangian invariants of symplectic manifolds
The KV-homology theory is a new framework which yields interesting properties of lagrangian foliations. This short note is devoted to relationships between the KV-homology and the KV-cohomology of a lagrangian foliation. Let us denote by (resp. ) the KV-algebra (resp. the space of basic functions) of a lagrangian foliation F. We show that there exists a pairing of cohomology and homology to . That is to say, there is a bilinear map , which is invariant under F-preserving symplectic diffeomorphisms....
Some Properties of a Cohomology Group Associated to a Totally Geodesic Foliation.
Some Remarks on Analytic Foliations and Analytic Branched Coverings.
Some remarks on foliated S1 bundles.
Some remarks on Lie flows.
The first part of this paper is concerned with geometrical and cohomological properties of Lie flows on compact manifolds. Relations between these properties and the Euler class of the flow are given.The second part deals with 3-codimensional Lie flows. Using the classification of 3-dimensional Lie algebras we give cohomological obstructions for a compact manifold admits a Lie flow transversely modeled on a given Lie algebra.
Some results about Mastrogiacomo cohomology.
Space-time distributions.
Special Connections on Almost-Multifoliate Riemannian Manifolds.
Stabile Foliations of 4-Manifolds by Closed Surfaces. I. Local Structure and Free Actions of Finite Cyclic and Dihedral Groups on Surfaces.
Stabilité des -algèbres de feuilletages
Soit la -algèbre, ou bien réduite ou bien maximale, associée à la variété feuilletée , et la -algèbre élémentaire des opérateurs compacts. Alors, si dim, on montre que est isomorphe à .
Stability of foliations induced by rational maps
We show that the singular holomorphic foliations induced by dominant quasi-homogeneous rational maps fill out irreducible components of the space of singular foliations of codimension and degree on the complex projective space , when . We study the geometry of these irreducible components. In particular we prove that they are all rational varieties and we compute their projective degrees in several cases.
Stability of the Monge-Ampère Foliation.
Structure locale et globale des feuilletages de Rolle, un théorème de fibration
Un feuilletage de codimension un sur une variété orientable est de Rolle s’il vérifie la propriété suivante : une courbe transverse à coupe au plus une fois chaque feuille. Soit une fonction tapissante sur , i.e. propre et possédant un nombre fini de valeurs critiques. Nous montrons que si l’ensemble des singularités de la restriction de aux feuilles de vérifie certaines propriétés de finitude, alors la restriction de au complémentaire d’un nombre fini de feuilles possède une structure...
Structure of a leaf of some codimension one riemannian foliation
Some properties of the range on an open leaf of some codimension-one foliation are shown. They are different from the known properties of the distance of leaves. They imply that leaf is of fibred type over a complete Riemannian manifold with boundary, as well that there exists some vector field on . If is parallel then is diffeomorphic to and has non-positive curvature.
Structure of function algebras on foliated manifolds.
Subgroups of continuous groups acting differentiably on the half-line
We consider groups of diffeomorphisms of the closed half-line which fix only the end point. When the group is a Lie group it is isomorphic to a subgroup of the affine group. On the other hand, when the group is isomorphic to a discrete subgroup of a solvable Lie group it is topologically equivalent to a subgroup of the affine group.
Sur la cohomologie feuilletée