Strongly differentiable monoids with smooth boundary.
Structure morphisms of prolongation functors
Structure of second-order symmetric Lorentzian manifolds
, that is to say, Lorentzian manifolds with vanishing second derivative of the curvature tensor , are characterized by several geometric properties, and explicitly presented. Locally, they are a product where each factor is uniquely determined as follows: is a Riemannian symmetric space and is either a constant-curvature Lorentzian space or a definite type of plane wave generalizing the Cahen–Wallach family. In the proper case (i.e., at some point), the curvature tensor turns out to...
Structures de contact, extension du calcul des jets (1ère partie)
Structures de contact, extension du calcul des jets (2ème partie)
Structures de Jacobi sur une variété des points proches
Submersions sur le cercle
Sub-Riemannian Metrics: Minimality of Abnormal Geodesics versus Subanalyticity
We study sub-Riemannian (Carnot-Caratheodory) metrics defined by noninvolutive distributions on real-analytic Riemannian manifolds. We establish a connection between regularity properties of these metrics and the lack of length minimizing abnormal geodesics. Utilizing the results of the previous study of abnormal length minimizers accomplished by the authors in [Annales IHP. Analyse nonlinéaire 13, p. 635-690] we describe in this paper two classes of the germs of distributions (called 2-generating...
Sufficiency of Jets via Stratification Theory.
Sui teoremi di De Rham
Sulla coomologia intera delle varietà differenziabili
Super Wilson Loops and Holonomy on Supermanifolds
The classical Wilson loop is the gauge-invariant trace of the parallel transport around a closed path with respect to a connection on a vector bundle over a smooth manifold. We build a precise mathematical model of the super Wilson loop, an extension introduced by Mason-Skinner and Caron-Huot, by endowing the objects occurring with auxiliary Graßmann generators coming from -points. A key feature of our model is a supergeometric parallel transport, which allows for a natural notion of holonomy on...
Superconnection currents and complex immersions.
Superconnections: an interpretation of the standard model.
Superfixed positions in the geometry of Goursat flags.
Sur certains sous-ensembles de l'espace euclidien
Soit l’algèbre des fonctions sur engendrée par les fonctions polynomiales et les exponentielles de formes linéaires. La partie de appartient à si et seulement s’il existe et dans pour lesquels est l’image par la projection canonique de sur , de l’ensemble des zéros de . Soit le plus petit sous-ensemble de parties de qui contient , l’adhérence de ses éléments et les images par la projection canonique de qui contient , l’adhérence de ses éléments et les images par la...
Sur la cohomologie feuilletée
Sur la densité des systèmes de Pfaff sans solution algébrique
On démontre que dans toute surface rationnelle, non-isomorphe au plan projectif, il existe une feuilletage analytique rigide, possédant des feuilles algébriques et n’ayant que des singularités isolées.
Sur la structure des courants positifs fermés
Sur la suite exacte canonique associée à un fibré principal