Une inégalité isopérimétrique en courbure négative d'après Christopher B. Croke
Une note sur les unvariants caractéristiques de certains ...
Une nouvelle réalisation des espaces hermitiens symétriques
Une paramétrisation de l’espace de Teichmüller de genre donnée par géodésiques explicites
Une relation entre diamètre extrinsèque, intégrale de la courbe de Gauss et inradius pour les hypersurfaces localement convexes d'un espace euclidien.
Une stratification de l'espace des structures riemanniennes
Une structure symplectique sur R6 avec une sphère lagrangienne plongée et un champ de Liouville complet.
Une théorie d'Einstein-Dirac en spin maximum 1
Ungleichungen für die Quermassenintegrale polarer Körper.
Uniform Finsler Hadamard manifolds
Uniform Gaussian Bounds for Subelliptic Heat Kernels and an Application to the Total Variation Flow of Graphs over Carnot Groups
In this paper we study heat kernels associated with a Carnot group G, endowed with a family of collapsing left-invariant Riemannian metrics σε which converge in the Gromov- Hausdorff sense to a sub-Riemannian structure on G as ε→ 0. The main new contribution are Gaussian-type bounds on the heat kernel for the σε metrics which are stable as ε→0 and extend the previous time-independent estimates in [16]. As an application we study well posedness of the total variation flow of graph surfaces over a...
Uniform growth of groups acting on Cartan–Hadamard spaces
In this paper we investigate the growth of finitely generated groups. We recall the definition of the algebraic entropy of a group and show that if the group is acting as a discrete subgroup of the isometry group of a Cartan–Hadamard manifold with pinched negative curvature then a Tits alternative is true. More precisely the group is either virtually nilpotent or has a uniform growth bounded below by an explicit constant.
Uniformity and homogeneity of elastic rods, shells and Cosserat three-dimensional bodies.
Uniformity and homogeneity of elastic rods, shells and Cosserat three-dimensional bodies
We present a general geometrical theory of uniform bodies which includes three-dimensional Cosserat bodies, rods and shells as particular cases. Criteria of local homogeneity are given in terms on connections.
Uniformly Convex Metric Spaces
In this paper the theory of uniformly convex metric spaces is developed. These spaces exhibit a generalized convexity of the metric from a fixed point. Using a (nearly) uniform convexity property a simple proof of reflexivity is presented and a weak topology of such spaces is analyzed. This topology, called coconvex topology, agrees with the usually weak topology in Banach spaces. An example of a CAT(0)-space with weak topology which is not Hausdorff is given. In the end existence and uniqueness...
Unique continuation in abstract pseudoconcave manifolds
Unique isometric immersion into hyperbolic space.
Uniqueness and non-existence of metrics with prescribed Ricci curvature
Uniqueness and Stability of Harmonic Maps and Their Jacobi Fields.
Uniqueness of complex geodesics and characterization of circular domains.