Add to ORKGWe prove an integral formula for the spherical measure of hypersurfaces in equiregular sub-Riemannian manifolds. Among various technical tools, we establish a general criterion for the uniform convergence of parametrized sub-Riemannian distances, and local uniform asymptotics for the diameter of small metric balls.Comment: 42 page
We prove that, on any sub-Riemannian manifold endowed with a positive smooth measure, the Bakry-\'Em...
We prove a sharp area estimate for minimal submanifolds that pass through a prescribed point in a ge...
We compute the asymptotic expansion of the volume of small subẊRiemannian balls in a contact 3-dimen...
In this paper we study the nilpotent 2-step, corank 2 sub-Riemannian metrics that are nilpotent appr...
We give a metric characterization of the scalar curvature of a smooth Riemannian manifold, analyzing...
We introduce a family of quasidistances in R^d, such that some of them are equivalent to natural dis...
We establish an area formula for the spherical measure of intrinsically regular submanifolds of low ...
In this paper, we consider generic corank 2 sub-Riemannian structures, and we show that the Spherica...
We prove a quantitative version of Obata's Theorem involving the shape of functions with null mean v...
We establish an area formula for computing the spherical measure of an intrinsic graph of any codime...
In this thesis, we give a lower bound on the areas of small geodesic balls in an immersed hypersurfa...
A famous theorem of Weyl states that if $M$ is a compact submanifold of euclidean space, then the vo...
We show two sphere theorems for the Riemannian manifolds with scalar curvature bounded below and the...
International audienceIn \cite{gjha} we give a detailed analysis of spherical Hausdorff measures on ...
We prove that in a Riemannian manifold $M$, each function whose Hessian is proportional the metric t...
We prove that, on any sub-Riemannian manifold endowed with a positive smooth measure, the Bakry-\'Em...
We prove a sharp area estimate for minimal submanifolds that pass through a prescribed point in a ge...
We compute the asymptotic expansion of the volume of small subẊRiemannian balls in a contact 3-dimen...
In this paper we study the nilpotent 2-step, corank 2 sub-Riemannian metrics that are nilpotent appr...
We give a metric characterization of the scalar curvature of a smooth Riemannian manifold, analyzing...
We introduce a family of quasidistances in R^d, such that some of them are equivalent to natural dis...
We establish an area formula for the spherical measure of intrinsically regular submanifolds of low ...
In this paper, we consider generic corank 2 sub-Riemannian structures, and we show that the Spherica...
We prove a quantitative version of Obata's Theorem involving the shape of functions with null mean v...
We establish an area formula for computing the spherical measure of an intrinsic graph of any codime...
In this thesis, we give a lower bound on the areas of small geodesic balls in an immersed hypersurfa...
A famous theorem of Weyl states that if $M$ is a compact submanifold of euclidean space, then the vo...
We show two sphere theorems for the Riemannian manifolds with scalar curvature bounded below and the...
International audienceIn \cite{gjha} we give a detailed analysis of spherical Hausdorff measures on ...
We prove that in a Riemannian manifold $M$, each function whose Hessian is proportional the metric t...
We prove that, on any sub-Riemannian manifold endowed with a positive smooth measure, the Bakry-\'Em...
We prove a sharp area estimate for minimal submanifolds that pass through a prescribed point in a ge...
We compute the asymptotic expansion of the volume of small subẊRiemannian balls in a contact 3-dimen...