Some analogies between number theory and dynamical systems on foliated spaces.
Some characteristic invariants of foliated bundles [Book]
Some conditions under which a continuous semigroup morphism is strongly differentiable.
Some Equivariant Bordism Theories Vanish.
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 examples of nonsingular Morse-Smale vector fields on
One wonders or not whether it is possible to determine the homotopy class of a vector field by examining some algebraic invariants associated with its qualitative behavior. In this paper, we investigate the algebraic invariants which are usually associated with the periodic solutions of non-singular Morse-Smale vector fields on the 3-sphere. We exhibit some examples for which there appears to be no correlation between the algebraic invariants of the periodic solutions and the homotopy classes of...
Some examples of vector fields on the 3-sphere
Let denote the set of points with modulus one in euclidean 4-space ; and let denote the space of nonsingular vector fields on with the topology. Under what conditions are two elements from homotopic ? There are several examples of nonsingular vector fields on . However, they are all homotopic to the tangent fields of the fibrations of due to H. Hopf (there are two such classes).We construct some new examples of vector fields which can be classified geometrically. Each of these examples...
Some Exotic Spheres with Positive Ricci Curvature.
Some infinte families of U-hypersurfaces.
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 nonreduced moduli of bundles and Donaldson invariants for Dolgachev surfaces.
Some partial formulae for Stiefel-Whitney classes of Grassmannians
Some properly critical subsets of Euclidean spaces.
Some Properties of a Cohomology Group Associated to a Totally Geodesic Foliation.
Some properties of stable rank 2 bundles on algebraic surfaces.
Some rational computations of the Waldhausen algebraic K theory.
Some recent results on surfaces of general type
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.