Flag Structures on Seifert Manifolds.
Flat Bundles and Residues for Foliations.
Flots transversalement affines et tissus feuilletés
Foliate Partial Holomorphic Structures on Principal Bundles.
Foliated and associated geometric structures on foliated manifolds
Foliated G-structures and riemannian foliations.
Foliated structure of the Kuranishi space and isomorphisms of deformation families of compact complex manifolds
Consider the following uniformization problem. Take two holomorphic (parametrized by some analytic set defined on a neighborhood of in , for some ) or differentiable (parametrized by an open neighborhood of in , for some ) deformation families of compact complex manifolds. Assume they are pointwise isomorphic, that is for each point of the parameter space, the fiber over of the first family is biholomorphic to the fiber over of the second family. Then, under which conditions are the...
Foliation dynamics and leaf invariants.
Foliations admitting transverse systems of differential equations
Foliations and Compact Lie Group Actions
Foliations and contact structures.
Foliations and spinnable structures on manifolds
In this paper we study a new structure, called a spinnable structure, on a differentiable manifold. Roughly speaking, a differentiable manifold is spinnable if it can spin around a codimension 2 submanifold, called the axis, as if the top spins.The main result is the following: let be a compact -connected -dimensional differentiable manifold , then admits a spinnable structure with axis . Making use of the codimension-one foliation on , this yields that admits a codimension-foliation.
Foliations and the generalized complex Monge-Ampère equations
Foliations by planes and Lie group actions
Let N be a closed orientable n-manifold, n ≥ 3, and K a compact non-empty subset. We prove that the existence of a transversally orientable codimension one foliation on N∖K with leaves homeomorphic to , in the relative topology, implies that K must be connected. If in addition one imposes some restrictions on the homology of K, then N must be a homotopy sphere. Next we consider C² actions of a Lie group diffeomorphic to on N and obtain our main result: if K, the set of singular points of the...
Foliations of 3-Manifolds with Solvable Fundamental Group.
Foliations of Codimension 2 With All Leaves Compact.
Foliations of Codimension 2 with all Leaves Compact on Closed 3-, 4-, and 5-Manifolds.
Foliations of defined by -actions
In this paper we give a geometric characterization of the 2-dimensional foliations on compact orientable 3-manifolds defined by a locally free smooth action of .
Foliations of surfaces I : an ideal boundary
Let be a foliation of the punctured plane . Any non-compact leaf of has two ends, which we call leaf-ends. The set of leaf-ends which converge to the origin has a natural cyclic order. In the case is infinite, we show that the cyclicly ordered set , obtained by identifying neighbors in and filling in the holes according to the Dedeking process, is equivalent to a circle. We show that the set has a natural topology, and it is homeomorphic to with respect to this topology.
Foliations on the complex projective plane with many parabolic leaves
We prove that a foliation on with hyperbolic singularities and with “many" parabolic leaves (i.e. leaves without Green functions) is in fact a linear foliation. This is done in two steps: first we prove that there exists an algebraic leaf, using the technique of harmonic measures, then we show that the holonomy of this leaf is linearizable, from which the result follows easily.