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 partial formulae for Stiefel-Whitney classes of Grassmannians
Stability of compact actions of Rn of codimensional one.
Stiefel-Whitney classes of the flag manifold
Stratification de Whitney et théorème de Bertini-Sard.
Sur la cohomologie de l'algèbre de Lie des champs de vecteurs
Sur l'algebre de Lie des Champs de Vecteurs
The compression theorem I.
The compression theorem II: directed embeddings.
The compression theorem III: Applications.
The index of discontinuous vector fields.
Travaux de Shiga sur la cohomologie des algèbres de Lie sur une variété
Über die Automorphismengruppen von Banach-Mannigfaltigkeiten mit invarianter Metrik.
Un contre-exemple à la conjecture de Seifert
Unicity of the Lie product
Unit vector fields on antipodally punctured spheres: big index, big volume
We establish in this paper a lower bound for the volume of a unit vector field defined on , . This lower bound is related to the sum of the absolute values of the indices of at and .
Vector Fields and transfers.
О версальности одного семейства симетричных векторных полей на плоскости