206 citations · 1.5k across the 62 of their papers we have counts for
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Quantitative isoperimetry à la Levy-Gromov
F. Cavalletti, F. Maggi, A. Mondino
On a Riemannian manifold with a positive lower bound on the Ricci tensor, the distance of isoperimetric sets from geodesic balls is quantitatively controlled in terms of the gap be…
On quotients of spaces with Ricci curvature bounded below
Fernando Galaz-García, Martin Kell, Andrea Mondino +1
Let be a smooth Riemannian manifold and a compact Lie group acting on effectively and by isometries. It is well known that a lower bound of the sectional c…
Almost euclidean Isoperimetric Inequalities in spaces satisfying local Ricci curvature lower bounds
Fabio Cavalletti, Andrea Mondino
Motivated by Perelman's Pseudo Locality Theorem for the Ricci flow, we prove that if a Riemannian manifold has Ricci curvature bounded below in a metric ball which moreover has alm…
Angles between curves in metric measure spaces
Bang-Xian Han, Andrea Mondino
The goal of the paper is to study the angle between two curves in the framework of metric (and metric measure) spaces. More precisely, we give a new notion of angle between two cur…