Here I show the compatibility of two definitions of generalized curvature bounds: the lower bound for sectional curvature in the sense of Alexandrov and the lower bound for Ricci curvature in the sense of Lott-Villani-Sturm
The idea of compactifying the space of Riemannian manifolds satisfying Ricci curvature lower bounds ...
The idea of compactifying the space of Riemannian manifolds satisfying Ricci curvature lower bounds ...
In this note, we prove that on a surface with Alexandrov’s curvature bounded below, the distance der...
Abstract. It is proved that a convex hypersurface in a Riemannian manifold of sectional curvature>...
The celebrated Lott-Sturm-Villani theory of metric measure spaces furnishes synthetic notions of a R...
In this paper we show that, in the definition of Alexandrov spaces with lower or upper curvature bou...
For metric measure spaces satisfying the reduced curvature–dimension condition CD*(K,N) we prove a s...
AbstractWe construct geodesics in the Wasserstein space of probability measures along which all the ...
AbstractThis paper is devoted to the analysis of metric measure spaces satisfying locally the curvat...
The purpose of this course is to introduce the synthetic treatment of sectional curvature upper-boun...
The purpose of this course is to introduce the synthetic treatment of sectional curvature upper-boun...
Consider an essentially nonbranching metric measure space with the measure contraction property of O...
The purpose of this course is to introduce the synthetic treatment of sectional curvature upper-boun...
The purpose of this course is to introduce the synthetic treatment of sectional curvature upper-boun...
This work is devoted to the analysis of abstract metric measure spaces (M,d,m) satisfying the curvat...
The idea of compactifying the space of Riemannian manifolds satisfying Ricci curvature lower bounds ...
The idea of compactifying the space of Riemannian manifolds satisfying Ricci curvature lower bounds ...
In this note, we prove that on a surface with Alexandrov’s curvature bounded below, the distance der...
Abstract. It is proved that a convex hypersurface in a Riemannian manifold of sectional curvature>...
The celebrated Lott-Sturm-Villani theory of metric measure spaces furnishes synthetic notions of a R...
In this paper we show that, in the definition of Alexandrov spaces with lower or upper curvature bou...
For metric measure spaces satisfying the reduced curvature–dimension condition CD*(K,N) we prove a s...
AbstractWe construct geodesics in the Wasserstein space of probability measures along which all the ...
AbstractThis paper is devoted to the analysis of metric measure spaces satisfying locally the curvat...
The purpose of this course is to introduce the synthetic treatment of sectional curvature upper-boun...
The purpose of this course is to introduce the synthetic treatment of sectional curvature upper-boun...
Consider an essentially nonbranching metric measure space with the measure contraction property of O...
The purpose of this course is to introduce the synthetic treatment of sectional curvature upper-boun...
The purpose of this course is to introduce the synthetic treatment of sectional curvature upper-boun...
This work is devoted to the analysis of abstract metric measure spaces (M,d,m) satisfying the curvat...
The idea of compactifying the space of Riemannian manifolds satisfying Ricci curvature lower bounds ...
The idea of compactifying the space of Riemannian manifolds satisfying Ricci curvature lower bounds ...
In this note, we prove that on a surface with Alexandrov’s curvature bounded below, the distance der...