96 citations · 386 across the 22 of their papers we have counts for
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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…
The Globalization Theorem for the Curvature Dimension Condition
Fabio Cavalletti, Emanuel Milman
The Lott-Sturm-Villani Curvature-Dimension condition provides a synthetic notion for a metric-measure space to have Ricci-curvature bounded from below and dimension bounded from ab…
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…
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…