Deformations of the algebra of functions on hermitian symmetric spaces resulting from quantization
Der Indexsatz für geschlossene Geodätische.
Description lagrangienne d'un boson scalaire à l'aide d'un triplet nucléaire
Diffeomorphism groups on noncompact manifolds
Difféomorphismes d'une variété symplectique non compacte.
Differential and geometric structure for the tangent bundle of a projective limit manifold
Differential geometry of canonical quantization
Dirac brackets in geometric dynamics
Distinguished connections on -metric manifolds
We study several linear connections (the first canonical, the Chern, the well adapted, the Levi Civita, the Kobayashi-Nomizu, the Yano, the Bismut and those with totally skew-symmetric torsion) which can be defined on the four geometric types of -metric manifolds. We characterize when such a connection is adapted to the structure, and obtain a lot of results about coincidence among connections. We prove that the first canonical and the well adapted connections define a one-parameter family of adapted...
Dolbeault homotopy theory and compact nilmanifolds
In this paper we study the degeneration of both the cohomology and the cohomotopy Frölicher spectral sequences in a special class of complex manifolds, namely the class of compact nilmanifolds endowed with a nilpotent complex structure. Whereas the cohomotopy spectral sequence is always degenerate for such a manifold, there exist many nilpotent complex structures on compact nilmanifolds for which the classical Frölicher spectral sequence does not collapse even at the second term.
Donaldson invariants of certain symplectic manifolds.
Donaldson series and (-1)-tori.
Double vector bundles and duality
The notions of the dual double vector bundle and the dual double vector bundle morphism are defined. Theorems on canonical isomorphisms are formulated and proved. Several examples are given.
Dualité symplectique, feuillitages et géometrie du moment.
One gives the links between the notions of singular foliations, Γ-structures and momentum mapping in the context of symplectic geometry.
Dynamical connections and non-autonomous lagrangian systems
Engel structures with trivial characteristic foliations.
Engouffrement symplectique et intersections lagrangiennes.
Equivalence of Glancing Hypersurfaces.
Equivalence of Glancing Hypersurfaces. II.
Equivalence of Lagrangian germs in the presence of a surface