Algèbres commutatives de champs de vecteurs isochores
Algèbres de Lie et groupes microlinéaires
Algèbres de Lie libres associées a un système de Pfaff.
By using an invariant related to free Lie algebras, we give a criterion of non existence of isomorphism for the Pfaffian systems.
Algèbres de Maurer-Cartan et Holonomie
Algèbres différentielles en théorie des champs
Les algèbres différentielles sont apparues comme des outils commodes ou même inévitables pour exprimer les symétries continues, exactes ou brisées, suivant la situation physique envisagée, dans le cadre de l’algorithme de Feynman de la théorie quantique des champs perturbative. Les algèbres de courants, les théories de Yang-Mills, la première quantification de la corde, sont proposées comme exemples classiques.
All linear and bilinear natural concomitants of vector valued differential forms
Almost symplectic structures on the linear frame bundle from linear connection
We describe all M fm-natural operators S: Q ↝ Symp P1 transforming classical linear connections ∇ on m-dimensional manifolds M into almost symplectic structures S(∇) on the linear frame bundle P1M over M.
An abstract characterization of the jet spaces
An analog of the Vaisman-Molino cohomology for manifolds modelled on some types of modules over Weil algebras and its application.
An application of stress energy tensor to the vanishing theorem of differential forms.
An Elementary Proof for a Compact Imbedding Result in Generalized Electromagnetic Theory.
An essay on the Interpolation Theorem of Józef Marcinkiewicz - Polish patriot
An Example of Moduli for Singular Symplec-tic Forms
An expression of classical dynamics
An extension of Miller's version of the de Rham Theorem with any coefficients
In this paper we present an approximation to the de Rham theorem for simplicial sets with any coefficients based, using simplicial techniques, on Poincaré's lemma and q-extendability.
An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms
We give a proof of the fact that any holomorphic Pfaffian form in two variables has a convergent integral curve. The proof gives an effective method to construct the solution, and we extend it to get a Gevrey type solution for a Gevrey form.
An immersion of a differential space in a Cartesian space
An inverse problem in the economic theory of demand
An isomorphism form intersection homology to Lp-cohomology.
Analycity of Sets Associated to Lelong Numbers and the Extension of Closed Positive Currents.