Density of the transversality on manifolds with corners.
Derivations of the Lie algebras of analytic vector fields
Derivations of vector fields
Derivations on the algebra of differential forms of higher order on a manifold
Derivations on the algebra of differential forms of infinite order on a manifold
Derivations on the Nijenhuis-Schouten bracket algebra
Derivations on the restricted Nijenhuis-Schouten bracket algebra
Deux applications de la géométrie locale des diffiétés
Déviations de moyennes ergodiques, flots de Teichmüller et cocycle de Kontsevich-Zorich
Étant donnée une fonction régulière de moyenne nulle sur le tore de dimension , il est facile de voir que ses intégrales ergodiques au-dessus d’un flot de translation “générique”sont bornées. Il y a une dizaine d’années, A. Zorich a observé numériquement une croissance en puissance du temps de ces intégrales ergodiques au-dessus de flots d’hamiltoniens (non-exacts) “génériques”sur des surfaces de genre supérieur ou égal à , et Kontsevich et Zorich ont proposé une explication (conjecturelle) de...
Diffeomorphisms conformal on distributions
Let f:M → N be a local diffeomorphism between Riemannian manifolds. We define the eigenvalues of f to be the eigenvalues of the self-adjoint, positive definite operator df*df:TM → TM, where df* denotes the operator adjoint to df. We show that if f is conformal on a distribution D, then , where denotes the eigenspace corresponding to the coefficient of conformality λ of f. Moreover, if f has distinct eigenvalues, then there is locally a distribution D such that f is conformal on D if and only...
Differentiable manifolds with generalized boundary
Differential equations with constraints in jet bundles: Lagrangian and Hamiltonian systems.
Differential forms on manifolds with a polynomial structure
Differential forms with values in groups (preliminary report)
Differential operators and flat connections on a Riemann surface.
Differential operators and -structures of higher order
Differential pseudoconnections and field theories
Distinguished geodesics and jacobi fields on first order jet spaces
In the framework of jet spaces endowed with a non-linear connection, the special curves of these spaces (h-paths, v-paths, stationary curves and geodesics) which extend the corresponding notions from Riemannian geometry are characterized. The main geometric objects and the paths are described and, in the case when the vertical metric is independent of fiber coordinates, the first two variations of energy and the extended Jacobi field equations are derived.
Distributions and heat equation in
Distributions Invariant under a Group of Diffeomorphisms.