Caractéristique d'Euler-Poincaré
Caracterización del anillo de funciones diferenciables de una variedad.
En el presente artículo se expone de modo resumido una caracterización de los anillos de funciones diferenciables de una variedad.
Casson's invariant of Seifert homology 3-spheres.
Catégorification des coefficients de la matrice de la représentation de Burau
Nous catégorifions explicitement les coefficients de la matrice de la représentation de Burau en utilisant des méthodes géométriques élémentaires. Nous montrons que cette catégorification est fidèle dans le sens où elle détecte la tresse triviale.
Categorification of the Kauffman bracket skein module of -bundles over surfaces.
Cauchy atlas on the manifold of all maximal solutions of an ODE system.
Caustics and wave front propagations: applications to differential geometry
This is mainly a survey on the theory of caustics and wave front propagations with applications to differential geometry of hypersurfaces in Euclidean space. We give a brief review of the general theory of caustics and wave front propagations, which are well-known now. We also consider a relationship between caustics and wave front propagations which might be new. Moreover, we apply this theory to differential geometry of hypersurfaces, getting new geometric properties.
Čech-de Rham cohomology of a refinement of a principal bundle.
Certain relation between vector fields and distributions on a differentiable manifold
Champs totalement radiaux sur une structure de Thom-Mather
Dans la première partie de ce travail, on prouve l’existence de champs stratifiés dits totalement radiaux sur un ensemble stratifié abstrait (e.s.a.). Ces champs sont stables et peuvent être choisis continus sur les espaces stratifiés plongés qui sont -réguliers au sens de K. Bekka. Dans la seconde partie, on établit pour ces espaces un théorème de Poincaré-Hopf pour les champs totalement radiaux continus. On en déduit un résultat similaire pour les e.s.a.
Characteristic classes of foliations preserved by a transverse k-field.
Characteristic classes of multifoliations
Characteristic Classes of n-Manifolds Immersing in Rn+k.
Characteristic classes of subfoliations
This paper is devoted to define a characteristic homomorphism for a subfoliation and to study its relation with the usual characteristic homomorphism for each foliation (as defined by Bott). Moreover, two applications are given: 1) the Yamato’s 2-codimensional foliation is shown to be no homotopic to in a (1,2)-codimensional subfoliation; 2) an obstruction to the existence of everywhere independent and transverse infinitesimal transformations of a foliation is obtained, when and these...
Characteristic classes of surface bundles.
Characteristic Classes through Classical Invariant Theory.
Characteristic homomorphism for -foliated bundles over subfoliated manifolds
In this paper a construction of characteristic classes for a subfoliation is given by using Kamber-Tondeur’s techniques. For this purpose, the notion of -foliated principal bundle, and the definition of its associated characteristic homomorphism, are introduced. The relation with the characteristic homomorphism of -foliated bundles, , the results of Kamber-Tondeur on the cohomology of --algebras. Finally, Goldman’s results on the restriction of foliated bundles to the leaves of a foliation...
Characteristic Homomorphisms of Regular Lie Algebroids
Characteristic Invariants of Foliated Bundles.
Characteristic numbers, bordism theory and the Novikov conjecture for open manifolds