International audienceIn this note, we prove that on a surface with Alexandrov's curvature bounded below, the distance derives from a Riemannian metric whose components, for any p ∈ [1, 2), locally belong to W 1,p out of a discrete singular set. This result is based on Reshet-nyak's work on the more general class of surfaces with bounded integral curvature
Consider a sequence of closed, orientable surfaces of fixed genus g in a Riemannian manifold M with ...
Under the mild conditions, it is proved that the convex surface is global C1,1, with the given Gauss...
We define (two-dimensional) polyhedron as a topological space homeomorphic to a locally finite two-d...
International audienceIn this note, we prove that on a surface with Alexandrov's curvature bounded b...
In this note, we prove that on a surface with Alexandrov’s curvature bounded below, the distance der...
In this note, we prove that on a surface with Alexandrov’s curvature bounded below, the distance der...
Abstract. The purpose of the present paper is to investigate the structure of distance spheres and c...
International audienceAbstract We give a metric characterization of the scalar curvature of a smooth...
AbstractWe study the effect of simultaneous bounds on the local L1 norms of the second fundamental f...
Abstract. It is proved that a convex hypersurface in a Riemannian manifold of sectional curvature>...
We obtain a generalized version of an inequality, first derived by C. Bandle in the analytic settin...
If we look for a compactification of the space of Riemannian metrics with conical singularities on a...
In this paper we consider the anisotropic perimeter P-phi (E) = integral(partial derivative E) phi(n...
Recently, F. Balacheff [Ba] proved that the Calabi-Croke sphere made of two flat 1-unit-side equilat...
La recherche d'une compactification de l'ensemble des métriques Riemanniennes à singularités conique...
Consider a sequence of closed, orientable surfaces of fixed genus g in a Riemannian manifold M with ...
Under the mild conditions, it is proved that the convex surface is global C1,1, with the given Gauss...
We define (two-dimensional) polyhedron as a topological space homeomorphic to a locally finite two-d...
International audienceIn this note, we prove that on a surface with Alexandrov's curvature bounded b...
In this note, we prove that on a surface with Alexandrov’s curvature bounded below, the distance der...
In this note, we prove that on a surface with Alexandrov’s curvature bounded below, the distance der...
Abstract. The purpose of the present paper is to investigate the structure of distance spheres and c...
International audienceAbstract We give a metric characterization of the scalar curvature of a smooth...
AbstractWe study the effect of simultaneous bounds on the local L1 norms of the second fundamental f...
Abstract. It is proved that a convex hypersurface in a Riemannian manifold of sectional curvature>...
We obtain a generalized version of an inequality, first derived by C. Bandle in the analytic settin...
If we look for a compactification of the space of Riemannian metrics with conical singularities on a...
In this paper we consider the anisotropic perimeter P-phi (E) = integral(partial derivative E) phi(n...
Recently, F. Balacheff [Ba] proved that the Calabi-Croke sphere made of two flat 1-unit-side equilat...
La recherche d'une compactification de l'ensemble des métriques Riemanniennes à singularités conique...
Consider a sequence of closed, orientable surfaces of fixed genus g in a Riemannian manifold M with ...
Under the mild conditions, it is proved that the convex surface is global C1,1, with the given Gauss...
We define (two-dimensional) polyhedron as a topological space homeomorphic to a locally finite two-d...