Flots transversalement affines et tissus feuilletés
Flows and joins of metric spaces.
Flows on supporting all links as orbits.
Fold maps from the sphere to the plane.
Foldable cubical complexes of nonpositive curvature.
Folding on the Cartesian product of manifolds and their fundamental group.
Folding on the wedge sum of graphs and their fundamental group.
Foliate Partial Holomorphic Structures on Principal Bundles.
Foliated and associated geometric structures on foliated manifolds
Foliated groupoids
[For the entire collection see Zbl 0699.00032.] The author defines a general notion of a foliated groupoid over a foliation with singularities, within the framework of a (known) general notion of a differentiable structure. Then, he generalizes the classical correspondence between the subalgebras of Lie algebras and the subgroups of the corresponding Lie groups for this type of pseudogroups.
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.