96 citations · 386 across the 22 of their papers we have counts for
4 papers · 1 filter
Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds
Fabio Cavalletti, Andrea Mondino
For metric measure spaces verifying the reduced curvature-dimension condition we prove a series of sharp functional inequalities under the additional assumption of esse…
Tangent lines and Lipschitz differentiability spaces
Fabio Cavalletti, Tapio Rajala
We study the existence of tangent lines, i.e. subsets of the tangent space isometric to the real line, in tangent spaces of metric spaces. We first revisit the almost everywhere me…
Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds
Fabio Cavalletti, Andrea Mondino
We prove that if is a metric measure space with having (in a synthetic sense) Ricci curvature bounded from below by and dime…
Measure rigidity of Ricci curvature lower bounds
Fabio Cavalletti, Andrea Mondino
The measure contraction property, for short, is a weak Ricci curvature lower bound conditions for metric measure spaces. The goal of this paper is to understand whic…