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.
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...
Double linear connections
Double vector spaces
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.
E. E. Levi convexity and the Hans Lewy problem. Part I : reduction to vanishing theorems
Échelles et faisceaux sur les quotients de feuilletages
Eigenvalues of the Hodge Laplacian on the Heisenberg group.
Ein Beitrag zur Whitney-Regularität im unendlichdimensionalen Fall.
Ein Existenzsatz über maßtreue Abbildungen.
Eine Verallgemeinerung Topologischer Mannigfaltigkeiten.
Einstein gravity, Lagrange-Finsler geometry, and nonsymmetric metrics.
Elementary theory of differential invariants
Embeddability of abstract CR structures and integrability of related systems
Necessary and sufficient conditions for local embeddability of abstract structures are expressed in terms of the commutation of the vector fields with a complex Lie algebra. These results extend to more general systems.
Embedding manifolds with boundary in smooth toposes
Engel structures with trivial characteristic foliations.
Ensembles semi-algébriques symétriques par arcs.