206 citations · 1.5k across the 62 of their papers we have counts for
9 papers · 1 filter
Rigidity for critical points in the Levy-Gromov inequality
Fabio Cavalletti, Francesco Maggi, Andrea Mondino
The Levy-Gromov inequality states that round spheres have the least isoperimetric profile (normalized by total volume) among Riemannian manifolds with a fixed positive lower bound…
Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds
Fabio Cavalletti, Andrea Mondino
We prove that the results regarding the Isoperimetric inequality and Cheeger constant formulated in terms of the Minkowski content, obtained by the authors in previous papers in th…
Sectional and intermediate Ricci curvature lower bounds via Optimal Transport
Christian Ketterer, Andrea Mondino
The goal of the paper is to give an optimal transport characterization of sectional curvature lower (and upper) bounds for smooth -dimensional Riemannian manifolds. More general…
Optimal maps in essentially non-branching spaces
Fabio Cavalletti, Andrea Mondino
In this note we prove that in a metric measure space verifying the measure contraction property with parameters and , any optimal trans…
On the volume measure of non-smooth spaces with Ricci curvature bounded below
Martin Kell, Andrea Mondino
We prove that, given an -space , then it is possible to -essentially cover by measurable subsets with the following proper…
A non-existence result for minimal catenoids in asymptotically flat spaces
Alessandro Carlotto, Andrea Mondino
We show that asymptotically Schwarzschildean 3-manifolds cannot contain minimal surfaces obtained by perturbative deformations of a Euclidean catenoid, no matter how small the ADM…
Gaussian-type Isoperimetric Inequalities in probability spaces for positive
Luigi Ambrosio, Andrea Mondino
In this paper we adapt the well-estabilished -calculus techniques to the context of spaces, proving Bobkov's local isoperimetric inequality and, when is posi…
On the universal cover and the fundamental group of an -space
Andrea Mondino, Guofang Wei
The main goal of the paper is to prove the existence of the universal cover for -spaces. This generalizes earlier work of C. Sormani and the second named author on the…
On a isoperimetric-isodiametric inequality
Andrea Mondino, Emanuele Spadaro
The Euclidean mixed isoperimetric-isodiametric inequality states that the round ball maximizes the volume under constraint on the product between boundary area and radius. The goal…