Curved Casimir operators and the BGG machinery.
Curves and surfaces in hyperbolic space
In the first part (Sections 2 and 3), we give a survey of the recent results on application of singularity theory for curves and surfaces in hyperbolic space. After that we define the hyperbolic canal surface of a hyperbolic space curve and apply the results of the first part to get some geometric relations between the hyperbolic canal surface and the centre curve.
Curves with finite turn
In this paper we study the notions of finite turn of a curve and finite turn of tangents of a curve. We generalize the theory (previously developed by Alexandrov, Pogorelov, and Reshetnyak) of angular turn in Euclidean spaces to curves with values in arbitrary Banach spaces. In particular, we manage to prove the equality of angular turn and angular turn of tangents in Hilbert spaces. One of the implications was only proved in the finite dimensional context previously, and equivalence of finiteness...
Cusp Forms and the Index Theorem for Manif olds with Boundary.
Cycles and measure of bifurcation sets for two-dimensional diffeomorphisms.
Cycles for the Dynamical Study of Foliated Manifolds and Complex Manifolds.
Cycles lagrangiens, fonctions constructibles et applications
Cyclic cocycles, renormalization and eta-invariants.
Cyclic operads and homology of graph complexes
Cyclic properties of the harmonic sequence of surface in CPn.
Cylindrical contact homology of subcritical Stein-fillable contact manifolds.
-cohomologie à croissance lente dans C
d...-Cohomology of Lagrangian Foliations.
De nouvelles formules de Weitzenböck pour des endomorphismes harmoniques. Applications géométriques
De quelques aspects de la théorie des -variétés différentielles et analytiques
Une -variété est le quotient d’une variété par une relation d’équivalence “étale” (feuilletage sans holonomie transversale). Cette catégorie est stable par quotients “étales”, et contient tout quotient d’une -variété en groupe par un sous-groupe. Elle forme le meilleur cadre possible pour l’étude des groupes de Lie. Une construction explicite de la cohomologie permettra d’obtenir la suite spectrale de Leray d’un morphisme de -variétés, celle des espaces à opérateurs, d’où leur interprétation...
De Rham cohomology and homotopy Frobenius manifolds
We endow the de Rham cohomology of any Poisson or Jacobi manifold with a natural homotopy Frobenius manifold structure. This result relies on a minimal model theorem for multicomplexes and a new kind of a Hodge degeneration condition.
De Rham currents and sprays
De Rham-Hodge Theory for Riemannian Foliations.
De Rham-Hodge-Kodaira decomposition in ...-dimensions.
Decay of solutions of the elastic wave equation with a localized dissipation