Distributions Invariant under a Group of Diffeomorphisms.
Distributions invariant under compact Lie groups
Distributions invariantes
Distributions involutives singulières
On étudie les distributions involutives, i.e. les modules de champs de vecteurs stables par le crochet de Lie, au voisinage d’un point singulier. Après s’être ramené au cas purement singulier, c’est-à-dire où tous les éléments de s’annulent en 0, des hypothèses génériques portant sur la partie linéaire de nous permettent d’obtenir la linéarisation.
Distributions sphériques et équations différentielles singulières
Divergence operators and odd Poisson brackets
We define the divergence operators on a graded algebra, and we show that, given an odd Poisson bracket on the algebra, the operator that maps an element to the divergence of the hamiltonian derivation that it defines is a generator of the bracket. This is the “odd laplacian”, , of Batalin-Vilkovisky quantization. We then study the generators of odd Poisson brackets on supermanifolds, where divergences of graded vector fields can be defined either in terms of berezinian volumes or of graded connections. Examples...
Division property of the momentum map.
Domaines plans isospectraux à la Gordon-Webb-Wolpert : une preuve terre à terre
Donaldson invariants of certain symplectic manifolds.
Double linear connections
Double resonant problems which are locally non-quadratic at infinity.
Double vector spaces
Doubling constant mean curvature tori in S
The Clifford tori in constitute a one-parameter family of flat, two-dimensional, constant mean curvature (CMC) submanifolds. This paper demonstrates that new, topologically non-trivial CMC surfaces resembling a pair of neighbouring Clifford tori connected at a sub-lattice consisting of at least two points by small catenoidal bridges can be constructed by perturbative PDE methods. That is, one can create a submanifold that has almost everywhere constant mean curvature by gluing a re-scaled catenoid...
Drinfel'd doubles and Ehresmann doubles for Lie algebroids and Lie bialgebroids.
Dualités de champs et de cordes
Duality of Hodge numbers of compact complex nilmanifolds
A compact K¨ahlerian manifoldM of dimension n satisfies hp,q(M) = hq,p(M) for each p, q.However, a compact complex manifold does not satisfy the equations in general. In this paper, we consider duality of Hodge numbers of compact complex nilmanifolds.
Duality Properties of Characteristic Forms.
D'un résultat hilbertien à un principe de comparaison entre spectres. Applications
Dynamical instability of symmetric vortices.
Using the Maxwell-Higgs model, we prove that linearly unstable symmetric vortices in the Ginzburg-Landau theory are dynamically unstable in the H1 norm (which is the natural norm for the problem).In this work we study the dynamic instability of the radial solutions of the Ginzburg-Landau equations in R2 (...)
Dynamische Systeme und isolierte Singularitäten.