Some conditions under which a continuous semigroup morphism is strongly differentiable.
Some Equivariant Bordism Theories Vanish.
Some evaluations of link polynomials.
Some examples of discrete groups and hyperbolic orbifolds of infinite volume.
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 spherical orbit spaces with cohomogeneity 2.
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 generalization of Godement’s theorem on division
Some generalized Coxeter groups and their orbifolds.
In this note we construct examples of geometric 3-orbifolds with (orbifold) fundamental group isomorphic to a (Z-extension of a) generalized Coxeter group. Some of these orbifolds have either euclidean, spherical or hyperbolic structure. As an application, we obtain an alternative proof of theorem 1 of Hagelberg, Maclaughlan and Rosenberg in [5]. We also obtain a similar result for generalized Coxeter groups.
Some infinte families of U-hypersurfaces.
Some invariants of Lie algebroids of principal fibre 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 links with non-trivial polynomials and their crossing-numbers.
Some Metrics on Classical Knots.
Some natural operations between connections on fibred manifolds
Given a fibered manifold , a 2-connection on means a section . The authors determine all first order natural operators transforming a 2-connection on and a classical linear connection on into a connection on . (The proof implies that there is no first order natural operator transforming 2-connections on into connections on .) Using this result, the authors deduce several properties of characterizable connections on .
Some New Invariants of Links.
Some Non-Linear Equivariant Sphere Bundles