-covered foliations of hyperbolic 3-manifolds.
Reduction of the singularities of foliations and applications
Regular foliations along curves
Regular projectively Anosov flows on three-dimensional manifolds
We give the complete classification of regular projectively Anosov flows on closed three-dimensional manifolds. More precisely, we show that such a flow must be either an Anosov flow or decomposed into a finite union of -models. We also apply our method to rigidity problems of some group actions.
Regular projectively Anosov flows with compact leaves
This paper concerns projectively Anosov flows with smooth stable and unstable foliations and on a Seifert manifold . We show that if the foliation or contains a compact leaf, then the flow is decomposed into a finite union of models which are defined on and bounded by compact leaves, and therefore the manifold is homeomorphic to the 3-torus. In the proof, we also obtain a theorem which classifies codimension one foliations on Seifert manifolds with compact leaves which are incompressible...
Relations de conjugaison et de cobordisme entre certains feuilletages
Relèvements Dans Le Fibré Conormal D'Un Feuilletage D'Une Variété Riemannienne
Remarks on nilpotent Lie algebras of vector fields.
Residues of singular holomorphic foliations
Resultados de F. Cano sobre una conjetura de Thom.
Riemannian foliations on Manifolds with non-negative curvature.
Riemannian foliations with parallel or harmonic basic forms
In this paper, we consider a Riemannian foliation that admits a nontrivial parallel or harmonic basic form. We estimate the norm of the O’Neill tensor in terms of the curvature data of the whole manifold. Some examples are then given.
Riemannian manifolds not quasi-isometric to leaves in codimension one foliations
Every open manifold of dimension greater than one has complete Riemannian metrics with bounded geometry such that is not quasi-isometric to a leaf of a codimension one foliation of a closed manifold. Hence no conditions on the local geometry of suffice to make it quasi-isometric to a leaf of such a foliation. We introduce the ‘bounded homology property’, a semi-local property of that is necessary for it to be a leaf in a compact manifold in codimension one, up to quasi-isometry. An essential...
Rotation Numbers of Products of Circle Homeomorphisms.