Conformal geometry and spatially homogeneous cosmology
Conformally flat manifolds, Kleinian groups and scalar curvature.
Congruences of surfaces in
Conjugaison différentiable des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne
Conjugation spaces.
Connected components of the strata of the moduli spaces of quadratic differentials
In two fundamental classical papers, Masur [14] and Veech [21] have independently proved that the Teichmüller geodesic flow acts ergodically on each connected component of each stratum of the moduli space of quadratic differentials. It is therefore interesting to have a classification of the ergodic components. Veech has proved that these strata are not necessarily connected. In a recent work [8], Kontsevich and Zorich have completely classified the components in the particular case where the quadratic...
Connections and 1-jet fiber bundles
Connections in regular Poisson manifolds over ℝ-Lie foliations
The subject of this paper is the notion of the connection in a regular Poisson manifold M, defined as a splitting of the Atiyah sequence of its Lie algebroid. In the case when the characteristic foliation F is an ℝ-Lie foliation, the fibre integral operator along the adjoint bundle is used to define the Euler class of the Poisson manifold M. When M is oriented 3-dimensional, the notion of the index of a local flat connection with singularities along a closed transversal is defined. If, additionally,...
Connections of order r
Connections on infinite dimensional manifolds with corners
Connexions compatibles avec certaines structures sur un fibré vectoriel banachique
Constructing generic smooth maps of a manifold into a surface with prescribed singular loci
It is known that the singular set of a generic smooth map of an -dimensional manifold into a surface is a closed 1-dimensional submanifold of and that it has a natural stratification induced by the absolute index. In this paper, we give a complete characterization of those 1-dimensional (stratified) submanifolds which arise as the singular set of a generic map in terms of the homology class they represent.
Constructing symplectic forms on 4--manifolds which vanish on circles.
Constructing taut foliations.
Construction de champs de vecteurs sans orbite périodique
Construction de sous-variétés symplectiques
Construction d’éléments dans
Construction of Einstein metrics by generalized Dehn filling
In this paper, we present a new approach to the construction of Einstein metrics by a generalization of Thurston's Dehn filling. In particular in dimension 3, we will obtain an analytic proof of Thurston's result.
Construction of Rank 2 semistable torsion free sheaves which are not limit of Vector bundles.
Constructions de feuilletages