https://neckpinch.com/authors/fabio-cavalletti/New arXiv papers by Fabio Cavalletti, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1703.02119/arxiv:1703.02119Mon, 06 Mar 2017 00:00:00 GMTFabio 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 almost maximal volume, then in a smaller ball (in a quantified sense) it holds an almost-euclidean isoperimetric inequality. The result is actually established in the more general framework of non-smooth spaces satisfying local Ricci curvature lower bounds in a synthetic sense via optimal transportation.Ricci flowWeak & singular flowsLimit spaces & RCDGeometric inequalities