Résultats d'unicité de Cauchy instable dans des situations où la condition de pseudo-convexité dégénère
Retractions régulières.
Reunions de n-plans d'enveloppe polynomiale d'interieur non vide.
Réversibilité et classification des centres nilpotents
Nous considérons un germe de 1-forme analytique dans dont le 1-jet est . Nous montrons que si l’équation définit un centre (i.e toutes les courbes solutions sont des cycles) il existe une involution analytique de préservant le portrait de phase du système. Géométriquement ceci signifie que les centres analytiques nilpotents sont obtenus par image réciproque par des applications pli. Un théorème de conjugaison équivariante permet d’obtenir une classification complète de ces centres.
Reversible complex Hénon maps.
Richtungsuniformisierung bei analytischen Mengen.
Riemann domains over Stein spaces
Riemann mapping theorem in ℂⁿ
The classical Riemann Mapping Theorem states that a nontrivial simply connected domain Ω in ℂ is holomorphically homeomorphic to the open unit disc 𝔻. We also know that "similar" one-dimensional Riemann surfaces are "almost" holomorphically equivalent. We discuss the same problem concerning "similar" domains in ℂⁿ in an attempt to find a multidimensional quantitative version of the Riemann Mapping Theorem
Riemann maps in almost complex manifolds
We prove the existence of stationary discs in the ball for small almost complex deformations of the standard structure. We define a local analogue of the Riemann map and establish its main properties. These constructions are applied to study the local geometry of almost complex manifolds and their morphisms.
Riemann surfaces in Stein manifolds with the Density property
We show that any open Riemann surface can be properly immersed in any Stein manifold with the (Volume) Density property and of dimension at least 2. If the dimension is at least 3, we can actually choose this immersion to be an embedding. As an application, we show that Stein manifolds with the (Volume) Density property and of dimension at least 3, are characterized among all other complex manifolds by their semigroup of holomorphic endomorphisms.
Riemann surfaces with boundary and natural triangulations of the Teichmüller space
We compare some natural triangulations of the Teichmüller space of hyperbolic surfaces with geodesic boundary and of some bordifications. We adapt Scannell–Wolf’s proof to show that grafting semi-infinite cylinders at the ends of hyperbolic surfaces with fixed boundary lengths is a homeomorphism. This way, we construct a family of equivariant triangulations of the Teichmüller space of punctured surfaces that interpolates between Bowditch–Epstein–Penner’s (using the spine construction) and Harer–Mumford–Thurston’s...
Riemann-Roch for weakly-equivariant D-modules II.
Riemann-Roch Theorem for Strongly Pseudoconvex Manifolds of Dimension 2.
Riemann's existence problem for a p-adic field.
Riemann–Stieltjes operators from spaces to -Bloch spaces on the unit ball.
Riemann-type boundary value problems for bicircular domains with a boundary condition containing partial derivatives.
Riesz transforms for Dunkl transform
In this paper we obtain the -boundedness of Riesz transforms for the Dunkl transform for all .
Rigid analytic spaces
Rigid meromorphic foliations on complex surfaces
Rigid subanalytic sets