Constant mean curvature surfaces in -space forms
Constant mean curvature surfaces with two ends in hyperbolic space.
Constant mean curvature tori in terms of elliptic functions.
Constant Mean Curvature Tori with spherical curvature lines in noneuclidean geometry.
Constant scalar curvature hypersurfaces with spherical boundary in Euclidean space.
It is still an open question whether a compact embedded hypersurface in the Euclidean space with constant mean curvature and spherical boundary is necessarily a hyperplanar ba1l or a spherical cap, even in the simplest case of a compact constant mean curvature surface in R3 bounded by a circle. In this paper we prove that this is true for the case of the scalar curvature. Specifica1ly we prove that the only compact embedded hypersurfaces in the Euclidean space with constant scalar curvature and...
Constant scalar curvature metrics on connected sums.
Constantes explicites pour les inégalités de Sobolev sur les variétés riemanniennes compactes
L’objet de cette étude est de trouver des constantes explicites (dépendant d’un minimum d’invariants riemanniens et les plus faibles possible) dans différents types d’inégalités de Sobolev.
Constrained Hamiltonians: a homological approach
Constrainedly moving polyhedral models. I. (Zwangläufig bewegliche Polyedermodelle. I.)
Constructing conformally flat structures on some Seifert fibred 3-manifolds.
Constructing equivariant maps for representations
We show that if is a discrete subgroup of the group of the isometries of , and if is a representation of into the group of the isometries of , then any -equivariant map extends to the boundary in a weak sense in the setting of Borel measures. As a consequence of this fact, we obtain an extension of a result of Besson, Courtois and Gallot about the existence of volume non-increasing, equivariant maps. Then, we show that the weak extension we obtain is actually a measurable -equivariant...
Constructing isothermal curvature line coordinates on surfaces which admit them
Isothermic parameterizations are synonyms of isothermal curvature line parameterizations, for surfaces immersed in Euclidean spaces. We provide a method of constructing isothermic coordinate charts on surfaces which admit them, starting from an arbitrary chart. One of the primary applications of this work consists of numerical algorithms for surface visualization.
Construction de la tangente en un point de la quadratrice
Construction de métriques d’Einstein à partir de transformations biconformes
L’objectif de cet article est de proposer une nouvelle méthode de construction de métriques d’Einstein. Le procédé consiste à considérer un morphisme harmonique ; on déforme ensuite biconformément la métrique en , en conservant l’harmonicité, ce qui simplifie le calcul de la courbure de Ricci. L’équation se traduit alors en un système différentiel en termes des paramètres de la déformation. On montre d’abord l’existence de solutions par un procédé dynamique. Puis, on résout ce système dans...
Construction de revêtements du groupe conforme d’un espace vectoriel muni d’une «métrique» de type
Construction de sous-variétés symplectiques
Construction de surfaces à courbure moyenne constante
Construction de surfaces minimales en recollant des surfaces de Scherk
On construit des surfaces minimales simplement périodiques dans l’espace euclidien de dimension 3 en recollant des surfaces de Scherk et en utilisant les techniques de Kapouleas.
Construction der Hauptkrümmungshalbmesser und der Hauptkrümmungsreichtungen bei beliebigen Flächen
Construction of BGG sequences for AHS structures
This paper gives a description of a method of direct construction of the BGG sequences of invariant operators on manifolds with AHS structures on the base of representation theoretical data of the Lie algebra defining the AHS structure. Several examples of the method are shown.